31404672 has 160 divisors (see below), whose sum is σ = 101080980. Its totient is φ = 9621504.

The previous prime is 31404631. The next prime is 31404689. The reversal of 31404672 is 27640413.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 3779136 = 5256^2 + 1944^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134668 + ... + 134900.

Almost surely, 2^31404672 is an apocalyptic number.

31404672 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 31404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50540490).

31404672 is an abundant number, since it is smaller than the sum of its proper divisors (69676308).

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

31404672 is a wasteful number, since it uses less digits than its factorization.

31404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 31404672 is about 5603.9871520195. The cubic root of 31404672 is about 315.4990728179.

The spelling of 31404672 in words is "thirty-one million, four hundred four thousand, six hundred seventy-two".