864124560 has 480 divisors, whose sum is σ = 3396032640. Its totient is φ = 195084288.

The previous prime is 864124553. The next prime is 864124607. The reversal of 864124560 is 65421468.

864124560 is a `hidden beast` number, since 8 + 641 + 2 + 4 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×864124560² = 1493422510390387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7647064 + ... + 7647176.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^864124560 is an apocalyptic number.

864124560 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 864124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

864124560 is an abundant number, since it is smaller than the sum of its proper divisors (2531908080).

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

864124560 is a wasteful number, since it uses less digits than its factorization.

864124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 864124560 is about 29395.9956456658. The cubic root of 864124560 is about 952.4863990453.

The spelling of 864124560 in words is "eight hundred sixty-four million, one hundred twenty-four thousand, five hundred sixty".