31016960 has 96 divisors (see below), whose sum is σ = 80491320. Its totient is φ = 11403264.

The previous prime is 31016939. The next prime is 31016969. The reversal of 31016960 is 6961013.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 16516096 = 3808^2 + 4064^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (31016969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133004 + ... + 133236.

Almost surely, 2^31016960 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 31016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40245660).

31016960 is an abundant number, since it is smaller than the sum of its proper divisors (49474360).

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

31016960 is a wasteful number, since it uses less digits than its factorization.

31016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 31016960 is about 5569.2872075338. The cubic root of 31016960 is about 314.1953427690.

Adding to 31016960 its reverse (6961013), we get a palindrome (37977973).

The spelling of 31016960 in words is "thirty-one million, sixteen thousand, nine hundred sixty".