31716960 has 96 divisors (see below), whose sum is σ = 109009152. Its totient is φ = 7687680.

The previous prime is 31716959. The next prime is 31716961. The reversal of 31716960 is 6961713.

It is an interprime number because it is at equal distance from previous prime (31716959) and next prime (31716961).

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31716961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (1135512).

Almost surely, 2^31716960 is an apocalyptic number.

31716960 is a gapful number since it is divisible by the number (30) 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 31716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54504576).

31716960 is an abundant number, since it is smaller than the sum of its proper divisors (77292192).

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

31716960 is a wasteful number, since it uses less digits than its factorization.

31716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 31716960 is about 5631.7812457516. The cubic root of 31716960 is about 316.5413995145.

The spelling of 31716960 in words is "thirty-one million, seven hundred sixteen thousand, nine hundred sixty".