31916416 has 64 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 13533696.

The previous prime is 31916393. The next prime is 31916461. The reversal of 31916416 is 61461913.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31916416² = 2037315220570112, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160285 + ... + 160483.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^31916416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

31916416 is an abundant number, since it is smaller than the sum of its proper divisors (41523584).

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

31916416 is a wasteful number, since it uses less digits than its factorization.

31916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 31916416 is about 5649.4615672646. The cubic root of 31916416 is about 317.2035499381.

The spelling of 31916416 in words is "thirty-one million, nine hundred sixteen thousand, four hundred sixteen".