864112536 has 160 divisors (see below), whose sum is σ = 2861892000. Its totient is φ = 238339584.

The previous prime is 864112511. The next prime is 864112577. The reversal of 864112536 is 635211468.

It is a happy number.

864112536 is a `hidden beast` number, since 8 + 6 + 4 + 112 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 864112536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128260 + ... + 134828.

It is an arithmetic number, because the mean of its divisors is an integer number (17886825).

Almost surely, 2^864112536 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 864112536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430946000).

864112536 is an abundant number, since it is smaller than the sum of its proper divisors (1997779464).

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

864112536 is a wasteful number, since it uses less digits than its factorization.

864112536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6610 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 864112536 is about 29395.7911273026. The cubic root of 864112536 is about 952.4819811831.

The spelling of 864112536 in words is "eight hundred sixty-four million, one hundred twelve thousand, five hundred thirty-six".