31328960 has 112 divisors (see below), whose sum is σ = 85258656. Its totient is φ = 10862592.

The previous prime is 31328953. The next prime is 31328993. The reversal of 31328960 is 6982313.

31328960 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70499 + ... + 70941.

It is an arithmetic number, because the mean of its divisors is an integer number (761238).

Almost surely, 2^31328960 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 31328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42629328).

31328960 is an abundant number, since it is smaller than the sum of its proper divisors (53929696).

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

31328960 is a wasteful number, since it uses less digits than its factorization.

31328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 31328960 is about 5597.2278853018. The cubic root of 31328960 is about 315.2453283261.

The spelling of 31328960 in words is "thirty-one million, three hundred twenty-eight thousand, nine hundred sixty".