31018960 has 120 divisors (see below), whose sum is σ = 86385096. Its totient is φ = 10321920.

The previous prime is 31018957. The next prime is 31018991. The reversal of 31018960 is 6981013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 30735936 = 532^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160624 + ... + 160816.

Almost surely, 2^31018960 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 31018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43192548).

31018960 is an abundant number, since it is smaller than the sum of its proper divisors (55366136).

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

31018960 is a wasteful number, since it uses less digits than its factorization.

31018960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 31018960 is about 5569.4667608309. The cubic root of 31018960 is about 314.2020958183.

Adding to 31018960 its reverse (6981013), we get a palindrome (37999973).

It can be divided in two parts, 310189 and 60, that added together give a square (310249 = 557²).

The spelling of 31018960 in words is "thirty-one million, eighteen thousand, nine hundred sixty".