31372416 has 96 divisors (see below), whose sum is σ = 91454220. Its totient is φ = 10321920.

The previous prime is 31372399. The next prime is 31372427. The reversal of 31372416 is 61427313.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 1166400 = 5496^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31372416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130056 + ... + 130296.

Almost surely, 2^31372416 is an apocalyptic number.

31372416 is a gapful number since it is divisible by the number (36) 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 31372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45727110).

31372416 is an abundant number, since it is smaller than the sum of its proper divisors (60081804).

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

31372416 is a wasteful number, since it uses less digits than its factorization.

31372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

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

The square root of 31372416 is about 5601.1084617243. The cubic root of 31372416 is about 315.3910185738.

Adding to 31372416 its reverse (61427313), we get a palindrome (92799729).

The spelling of 31372416 in words is "thirty-one million, three hundred seventy-two thousand, four hundred sixteen".