31973040 has 180 divisors, whose sum is σ = 118346592. Its totient is φ = 7729920.

The previous prime is 31973021. The next prime is 31973063. The reversal of 31973040 is 4037913.

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 31972995 and 31973013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86937 + ... + 87303.

Almost surely, 2^31973040 is an apocalyptic number.

31973040 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 31973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59173296).

31973040 is an abundant number, since it is smaller than the sum of its proper divisors (86373552).

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

31973040 is a wasteful number, since it uses less digits than its factorization.

31973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31973040 is about 5654.4707975194. The cubic root of 31973040 is about 317.3910263173.

The spelling of 31973040 in words is "thirty-one million, nine hundred seventy-three thousand, forty".