31260960 has 144 divisors (see below), whose sum is σ = 113041656. Its totient is φ = 7839744.

The previous prime is 31260953. The next prime is 31260991. The reversal of 31260960 is 6906213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 1710864 = 5436^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23842 + ... + 25118.

Almost surely, 2^31260960 is an apocalyptic number.

31260960 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 31260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56520828).

31260960 is an abundant number, since it is smaller than the sum of its proper divisors (81780696).

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

31260960 is a wasteful number, since it uses less digits than its factorization.

31260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31260960 is about 5591.1501500139. The cubic root of 31260960 is about 315.0170814622.

The spelling of 31260960 in words is "thirty-one million, two hundred sixty thousand, nine hundred sixty".