964080900 has 144 divisors (see below), whose sum is σ = 3262638400. Its totient is φ = 243544320.

The previous prime is 964080893. The next prime is 964080913. The reversal of 964080900 is 9080469.

964080900 is a `hidden beast` number, since 9 + 640 + 8 + 0 + 9 + 0 + 0 = 666.

964080900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41904 + ... + 60696.

Almost surely, 2^964080900 is an apocalyptic number.

964080900 is a gapful number since it is divisible by the number (90) 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 964080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631319200).

964080900 is an abundant number, since it is smaller than the sum of its proper divisors (2298557500).

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

964080900 is a wasteful number, since it uses less digits than its factorization.

964080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 964080900 is about 31049.6521719648. The cubic root of 964080900 is about 987.8806821548.

The spelling of 964080900 in words is "nine hundred sixty-four million, eighty thousand, nine hundred".