964624900 has 18 divisors (see below), whose sum is σ = 2093236250. Its totient is φ = 385849920.

The previous prime is 964624879. The next prime is 964624909. The reversal of 964624900 is 9426469.

964624900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 109998144 + 854626756 = 10488^2 + 29234^2 .

It is not an unprimeable number, because it can be changed into a prime (964624909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4823025 + ... + 4823224.

Almost surely, 2^964624900 is an apocalyptic number.

It is an amenable number.

964624900 is an abundant number, since it is smaller than the sum of its proper divisors (1128611350).

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

964624900 is a wasteful number, since it uses less digits than its factorization.

964624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646263 (or 9646256 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 964624900 is about 31058.4110990888. The cubic root of 964624900 is about 988.0664570354.

The spelling of 964624900 in words is "nine hundred sixty-four million, six hundred twenty-four thousand, nine hundred".