865372896 has 240 divisors, whose sum is σ = 2766234240. Its totient is φ = 264314880.

The previous prime is 865372891. The next prime is 865372897. The reversal of 865372896 is 698273568.

It is a happy number.

865372896 is a `hidden beast` number, since 86 + 537 + 28 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865372891) 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 39 ways as a sum of consecutive naturals, for example, 1806385 + ... + 1806863.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^865372896 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 865372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383117120).

865372896 is an abundant number, since it is smaller than the sum of its proper divisors (1900861344).

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

865372896 is a wasteful number, since it uses less digits than its factorization.

865372896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 865372896 is about 29417.2210788171. The cubic root of 865372896 is about 952.9448402667.

The spelling of 865372896 in words is "eight hundred sixty-five million, three hundred seventy-two thousand, eight hundred ninety-six".