31612672 has 144 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 11759616.

The previous prime is 31612667. The next prime is 31612727. The reversal of 31612672 is 27621613.

It is a super-2 number, since 2×31612672² = 1998722061959168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 31612672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535779 + ... + 535837.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^31612672 is an apocalyptic number.

31612672 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 31612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

31612672 is an abundant number, since it is smaller than the sum of its proper divisors (50801408).

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

31612672 is a wasteful number, since it uses less digits than its factorization.

31612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 31612672 is about 5622.5147398651. The cubic root of 31612672 is about 316.1940804231.

The spelling of 31612672 in words is "thirty-one million, six hundred twelve thousand, six hundred seventy-two".