36564480 has 240 divisors, whose sum is σ = 135772560. Its totient is φ = 9326592.

The previous prime is 36564461. The next prime is 36564481. The reversal of 36564480 is 8446563.

36564480 is a `hidden beast` number, since 3 + 6 + 5 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36564480² = 2673922395340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36564481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1589749 + ... + 1589771.

It is an arithmetic number, because the mean of its divisors is an integer number (565719).

Almost surely, 2^36564480 is an apocalyptic number.

36564480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886280).

36564480 is an abundant number, since it is smaller than the sum of its proper divisors (99208080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36564480 is an equidigital number, since it uses as much as digits as its factorization.

36564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36564480 is about 6046.8570348570. The cubic root of 36564480 is about 331.9095897428.

Multiplying 36564480 by its product of nonzero digits (69120), we get a square (2527336857600 = 1589760²).

36564480 divided by its product of nonzero digits (69120) gives a square (529 = 23²).

The spelling of 36564480 in words is "thirty-six million, five hundred sixty-four thousand, four hundred eighty".