864755136 has 224 divisors, whose sum is σ = 2966720000. Its totient is φ = 246903552.

The previous prime is 864755123. The next prime is 864755141. The reversal of 864755136 is 631557468.

864755136 is a `hidden beast` number, since 8 + 64 + 7 + 551 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 864755091 and 864755100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591975 + ... + 593433.

Almost surely, 2^864755136 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 864755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483360000).

864755136 is an abundant number, since it is smaller than the sum of its proper divisors (2101964864).

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

864755136 is a wasteful number, since it uses less digits than its factorization.

864755136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1471 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 864755136 is about 29406.7192321755. The cubic root of 864755136 is about 952.7180280855.

The spelling of 864755136 in words is "eight hundred sixty-four million, seven hundred fifty-five thousand, one hundred thirty-six".