31314960 has 240 divisors, whose sum is σ = 115135488. Its totient is φ = 7603200.

The previous prime is 31314953. The next prime is 31314971. The reversal of 31314960 is 6941313.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513330 + ... + 513390.

Almost surely, 2^31314960 is an apocalyptic number.

31314960 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 31314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567744).

31314960 is an abundant number, since it is smaller than the sum of its proper divisors (83820528).

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

31314960 is a wasteful number, since it uses less digits than its factorization.

31314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

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

The square root of 31314960 is about 5595.9771264722. The cubic root of 31314960 is about 315.1983633436.

The spelling of 31314960 in words is "thirty-one million, three hundred fourteen thousand, nine hundred sixty".