36460900 has 72 divisors (see below), whose sum is σ = 92355200. Its totient is φ = 12489120.

The previous prime is 36460891. The next prime is 36460933. The reversal of 36460900 is 906463.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 33769 + ... + 34831.

Almost surely, 2^36460900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46177600).

36460900 is an abundant number, since it is smaller than the sum of its proper divisors (55894300).

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

36460900 is a wasteful number, since it uses less digits than its factorization.

36460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 36460900 is about 6038.2861806973. The cubic root of 36460900 is about 331.5958817429.

The spelling of 36460900 in words is "thirty-six million, four hundred sixty thousand, nine hundred".