31752640 has 56 divisors (see below), whose sum is σ = 76791312. Its totient is φ = 12503040.

The previous prime is 31752601. The next prime is 31752641. The reversal of 31752640 is 4625713.

It is a junction number, because it is equal to n+sod(n) for n = 31752599 and 31752608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31752641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20700 + ... + 22180.

Almost surely, 2^31752640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395656).

31752640 is an abundant number, since it is smaller than the sum of its proper divisors (45038672).

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

31752640 is a wasteful number, since it uses less digits than its factorization.

31752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 31752640 is about 5634.9480920413. The cubic root of 31752640 is about 316.6600528012.

The spelling of 31752640 in words is "thirty-one million, seven hundred fifty-two thousand, six hundred forty".