31164672 has 288 divisors, whose sum is σ = 113025024. Its totient is φ = 7372800.

The previous prime is 31164671. The next prime is 31164719. The reversal of 31164672 is 27646113.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31164671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005297 + ... + 1005327.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 2^31164672 is an apocalyptic number.

31164672 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 31164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512512).

31164672 is an abundant number, since it is smaller than the sum of its proper divisors (81860352).

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

31164672 is a wasteful number, since it uses less digits than its factorization.

31164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 31164672 is about 5582.5327585246. The cubic root of 31164672 is about 314.6933170316.

The spelling of 31164672 in words is "thirty-one million, one hundred sixty-four thousand, six hundred seventy-two".