864552900 has 72 divisors (see below), whose sum is σ = 2531650464. Its totient is φ = 227763200.

The previous prime is 864552863. The next prime is 864552917. The reversal of 864552900 is 9255468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7540 + ... + 42260.

It is an arithmetic number, because the mean of its divisors is an integer number (35161812).

Almost surely, 2^864552900 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 864552900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265825232).

864552900 is an abundant number, since it is smaller than the sum of its proper divisors (1667097564).

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

864552900 is a wasteful number, since it uses less digits than its factorization.

864552900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34821 (or 34814 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 864552900 is about 29403.2804292310. The cubic root of 864552900 is about 952.6437531465.

The spelling of 864552900 in words is "eight hundred sixty-four million, five hundred fifty-two thousand, nine hundred".