865500160 has 352 divisors, whose sum is σ = 2641121280. Its totient is φ = 265420800.

The previous prime is 865500149. The next prime is 865500161. The reversal of 865500160 is 61005568.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865500161) 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 31 ways as a sum of consecutive naturals, for example, 21109740 + ... + 21109780.

Almost surely, 2^865500160 is an apocalyptic number.

865500160 is a gapful number since it is divisible by the number (80) 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 865500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320560640).

865500160 is an abundant number, since it is smaller than the sum of its proper divisors (1775621120).

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

865500160 is a wasteful number, since it uses less digits than its factorization.

865500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 865500160 is about 29419.3840860070. The cubic root of 865500160 is about 952.9915521633.

The spelling of 865500160 in words is "eight hundred sixty-five million, five hundred thousand, one hundred sixty".