31993120 has 48 divisors (see below), whose sum is σ = 77443128. Its totient is φ = 12482560.

The previous prime is 31993109. The next prime is 31993121. The reversal of 31993120 is 2139913.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 18421264 = 3684^2 + 4292^2 .

It is not an unprimeable number, because it can be changed into a prime (31993121) 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, 4122 + ... + 8998.

Almost surely, 2^31993120 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 31993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38721564).

31993120 is an abundant number, since it is smaller than the sum of its proper divisors (45450008).

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

31993120 is a wasteful number, since it uses less digits than its factorization.

31993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 31993120 is about 5656.2461049710. The cubic root of 31993120 is about 317.4574560144.

It can be divided in two parts, 319 and 93120, that added together give a palindrome (93439).

The spelling of 31993120 in words is "thirty-one million, nine hundred ninety-three thousand, one hundred twenty".