31860864 has 160 divisors (see below), whose sum is σ = 108609600. Its totient is φ = 9082368.

The previous prime is 31860863. The next prime is 31860869. The reversal of 31860864 is 46806813.

It is a happy number.

It is a super-2 number, since 2×31860864² = 2030229309652992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31860863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72357 + ... + 72795.

It is an arithmetic number, because the mean of its divisors is an integer number (678810).

Almost surely, 2^31860864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54304800).

31860864 is an abundant number, since it is smaller than the sum of its proper divisors (76748736).

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

31860864 is an equidigital number, since it uses as much as digits as its factorization.

31860864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 31860864 is about 5644.5428512857. The cubic root of 31860864 is about 317.0194072380.

It can be divided in two parts, 3 and 1860864, that added together give a cube (1860867 = 123³).

The spelling of 31860864 in words is "thirty-one million, eight hundred sixty thousand, eight hundred sixty-four".