31472960 has 56 divisors (see below), whose sum is σ = 76260960. Its totient is φ = 12368384.

The previous prime is 31472929. The next prime is 31472963. The reversal of 31472960 is 6927413.

It is a super-2 number, since 2×31472960² = 1981094422323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31472963) 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, 18047 + ... + 19713.

Almost surely, 2^31472960 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 31472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38130480).

31472960 is an abundant number, since it is smaller than the sum of its proper divisors (44788000).

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

31472960 is a wasteful number, since it uses less digits than its factorization.

31472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 31472960 is about 5610.0766483177. The cubic root of 31472960 is about 315.7275866249.

The spelling of 31472960 in words is "thirty-one million, four hundred seventy-two thousand, nine hundred sixty".