31284864 has 96 divisors (see below), whose sum is σ = 96996900. Its totient is φ = 9621504.

The previous prime is 31284833. The next prime is 31284871. The reversal of 31284864 is 46848213.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 14400 = 5592^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13932 + ... + 16020.

Almost surely, 2^31284864 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 31284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48498450).

31284864 is an abundant number, since it is smaller than the sum of its proper divisors (65712036).

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

31284864 is a wasteful number, since it uses less digits than its factorization.

31284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2107 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 31284864 is about 5593.2874054531. The cubic root of 31284864 is about 315.0973546399.

The spelling of 31284864 in words is "thirty-one million, two hundred eighty-four thousand, eight hundred sixty-four".