865350864 has 400 divisors, whose sum is σ = 3145798656. Its totient is φ = 223948800.

The previous prime is 865350859. The next prime is 865350869. The reversal of 865350864 is 468053568.

865350864 is a `hidden beast` number, since 86 + 5 + 3 + 508 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (865350859) and next prime (865350869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865350869) 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 79 ways as a sum of consecutive naturals, for example, 4780854 + ... + 4781034.

Almost surely, 2^865350864 is an apocalyptic number.

865350864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 865350864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572899328).

865350864 is an abundant number, since it is smaller than the sum of its proper divisors (2280447792).

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

865350864 is a wasteful number, since it uses less digits than its factorization.

865350864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 865350864 is about 29416.8466019048. The cubic root of 865350864 is about 952.9367530175.

The spelling of 865350864 in words is "eight hundred sixty-five million, three hundred fifty thousand, eight hundred sixty-four".