31638960 has 60 divisors (see below), whose sum is σ = 106256592. Its totient is φ = 8436864.

The previous prime is 31638923. The next prime is 31638977. The reversal of 31638960 is 6983613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21252 + ... + 22691.

Almost surely, 2^31638960 is an apocalyptic number.

31638960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31638960 is an abundant number, since it is smaller than the sum of its proper divisors (74617632).

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

31638960 is a wasteful number, since it uses less digits than its factorization.

31638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43962 (or 43953 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31638960 is about 5624.8519980529. The cubic root of 31638960 is about 316.2817014782.

The spelling of 31638960 in words is "thirty-one million, six hundred thirty-eight thousand, nine hundred sixty".