864126720 has 108 divisors (see below), whose sum is σ = 2989828296. Its totient is φ = 230430720.

The previous prime is 864126719. The next prime is 864126737. The reversal of 864126720 is 27621468.

864126720 is a `hidden beast` number, since 8 + 641 + 2 + 6 + 7 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25986 + ... + 49025.

Almost surely, 2^864126720 is an apocalyptic number.

864126720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864126720 is an abundant number, since it is smaller than the sum of its proper divisors (2125701576).

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

864126720 is a wasteful number, since it uses less digits than its factorization.

864126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75038 (or 75021 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 864126720 is about 29396.0323853407. The cubic root of 864126720 is about 952.4871926688.

The spelling of 864126720 in words is "eight hundred sixty-four million, one hundred twenty-six thousand, seven hundred twenty".