31452960 has 384 divisors, whose sum is σ = 132378624. Its totient is φ = 6082560.

The previous prime is 31452943. The next prime is 31452973. The reversal of 31452960 is 6925413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850062 + ... + 850098.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^31452960 is an apocalyptic number.

31452960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

31452960 is an abundant number, since it is smaller than the sum of its proper divisors (100925664).

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

31452960 is a wasteful number, since it uses less digits than its factorization.

31452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 31452960 is about 5608.2938582068. The cubic root of 31452960 is about 315.6606943914.

It can be divided in two parts, 3145 and 2960, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 31452960 in words is "thirty-one million, four hundred fifty-two thousand, nine hundred sixty".