31952640 has 144 divisors (see below), whose sum is σ = 104636448. Its totient is φ = 8306688.

The previous prime is 31952633. The next prime is 31952677. The reversal of 31952640 is 4625913.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31952598 and 31952607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203442 + ... + 203598.

It is an arithmetic number, because the mean of its divisors is an integer number (726642).

Almost surely, 2^31952640 is an apocalyptic number.

31952640 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 31952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52318224).

31952640 is an abundant number, since it is smaller than the sum of its proper divisors (72683808).

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

31952640 is a wasteful number, since it uses less digits than its factorization.

31952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 31952640 is about 5652.6666273539. Note that the first 4 decimals coincide. The cubic root of 31952640 is about 317.3235094920.

The spelling of 31952640 in words is "thirty-one million, nine hundred fifty-two thousand, six hundred forty".