31066120 has 32 divisors (see below), whose sum is σ = 70421400. Its totient is φ = 12333568.

The previous prime is 31066117. The next prime is 31066127. The reversal of 31066120 is 2166013.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 8655364 = 4734^2 + 2942^2 .

It is not an unprimeable number, because it can be changed into a prime (31066127) 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, 2646 + ... + 8314.

Almost surely, 2^31066120 is an apocalyptic number.

It is an amenable number.

31066120 is an abundant number, since it is smaller than the sum of its proper divisors (39355280).

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

31066120 is a wasteful number, since it uses less digits than its factorization.

31066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 31066120 is about 5573.6989513249. The cubic root of 31066120 is about 314.3612486689.

It can be divided in two parts, 310 and 66120, that added together give a triangular number (66430 = T₃₆₄).

The spelling of 31066120 in words is "thirty-one million, sixty-six thousand, one hundred twenty".