31368960 has 216 divisors, whose sum is σ = 124356960. Its totient is φ = 7151616.

The previous prime is 31368949. The next prime is 31368979. The reversal of 31368960 is 6986313.

It is a happy number.

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

It is a congruent number.

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, 80446 + ... + 80834.

Almost surely, 2^31368960 is an apocalyptic number.

31368960 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 31368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62178480).

31368960 is an abundant number, since it is smaller than the sum of its proper divisors (92988000).

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

31368960 is a wasteful number, since it uses less digits than its factorization.

31368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

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

The square root of 31368960 is about 5600.7999428653. The cubic root of 31368960 is about 315.3794369412.

The spelling of 31368960 in words is "thirty-one million, three hundred sixty-eight thousand, nine hundred sixty".