31406616 has 80 divisors (see below), whose sum is σ = 93174840. Its totient is φ = 9849600.

The previous prime is 31406611. The next prime is 31406629. The reversal of 31406616 is 61660413.

31406616 is a `hidden beast` number, since 3 + 1 + 40 + 6 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31406616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9591 + ... + 12441.

Almost surely, 2^31406616 is an apocalyptic number.

31406616 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 31406616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46587420).

31406616 is an abundant number, since it is smaller than the sum of its proper divisors (61768224).

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

31406616 is a wasteful number, since it uses less digits than its factorization.

31406616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31406616 is about 5604.1605972706. The cubic root of 31406616 is about 315.5055826512.

The spelling of 31406616 in words is "thirty-one million, four hundred six thousand, six hundred sixteen".