31264896 has 64 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 9618432.

The previous prime is 31264841. The next prime is 31264897. The reversal of 31264896 is 69846213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31264897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1861 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 2^31264896 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 31264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

31264896 is an abundant number, since it is smaller than the sum of its proper divisors (58185024).

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

31264896 is a wasteful number, since it uses less digits than its factorization.

31264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6281 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 31264896 is about 5591.5021237589. The cubic root of 31264896 is about 315.0303019476.

The spelling of 31264896 in words is "thirty-one million, two hundred sixty-four thousand, eight hundred ninety-six".