31620672 has 112 divisors (see below), whose sum is σ = 96316800. Its totient is φ = 10160640.

The previous prime is 31620661. The next prime is 31620679. The reversal of 31620672 is 27602613.

It is a happy number.

31620672 is a `hidden beast` number, since 31 + 620 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31620679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49797 + ... + 50427.

Almost surely, 2^31620672 is an apocalyptic number.

31620672 is a gapful number since it is divisible by the number (32) 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 31620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158400).

31620672 is an abundant number, since it is smaller than the sum of its proper divisors (64696128).

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

31620672 is a wasteful number, since it uses less digits than its factorization.

31620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31620672 is about 5623.2261202978. The cubic root of 31620672 is about 316.2207505223.

The spelling of 31620672 in words is "thirty-one million, six hundred twenty thousand, six hundred seventy-two".