10644480 has 352 divisors, whose sum is σ = 47162880. Its totient is φ = 2211840.

The previous prime is 10644451. The next prime is 10644509. The reversal of 10644480 is 8444601.

10644480 is a `hidden beast` number, since 10 + 644 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10644451) and next prime (10644509).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×10644480² = 226609908940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967675 + ... + 967685.

Almost surely, 2^10644480 is an apocalyptic number.

10644480 is a gapful number since it is divisible by the number (10) 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 10644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23581440).

10644480 is an abundant number, since it is smaller than the sum of its proper divisors (36518400).

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

10644480 is a wasteful number, since it uses less digits than its factorization.

10644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10644480 is about 3262.5879298496. The cubic root of 10644480 is about 219.9757549039.

The spelling of 10644480 in words is "ten million, six hundred forty-four thousand, four hundred eighty".