31328180 has 48 divisors (see below), whose sum is σ = 71611344. Its totient is φ = 11443200.

The previous prime is 31328153. The next prime is 31328183. The reversal of 31328180 is 8182313.

It can be written as a sum of positive squares in 8 ways, for example, as 35344 + 31292836 = 188^2 + 5594^2 .

It is a super-2 number, since 2×31328180² = 1962909724224800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31328183) 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, 25664 + ... + 26856.

It is an arithmetic number, because the mean of its divisors is an integer number (1491903).

Almost surely, 2^31328180 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 31328180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35805672).

31328180 is an abundant number, since it is smaller than the sum of its proper divisors (40283164).

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

31328180 is a wasteful number, since it uses less digits than its factorization.

31328180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 31328180 is about 5597.1582075192. The cubic root of 31328180 is about 315.2427120738.

The spelling of 31328180 in words is "thirty-one million, three hundred twenty-eight thousand, one hundred eighty".