865824960 has 896 divisors, whose sum is σ = 3981809664. Its totient is φ = 153354240.

The previous prime is 865824959. The next prime is 865824979. The reversal of 865824960 is 69428568.

It is a happy number.

It is a super-2 number, since 2×865824960² = 1499305722718003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16336294 + ... + 16336346.

It is an arithmetic number, because the mean of its divisors is an integer number (4443984).

Almost surely, 2^865824960 is an apocalyptic number.

865824960 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 865824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990904832).

865824960 is an abundant number, since it is smaller than the sum of its proper divisors (3115984704).

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

865824960 is a wasteful number, since it uses less digits than its factorization.

865824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 865824960 is about 29424.9037381603. The cubic root of 865824960 is about 953.1107483455.

The spelling of 865824960 in words is "eight hundred sixty-five million, eight hundred twenty-four thousand, nine hundred sixty".