31970880 has 168 divisors, whose sum is σ = 116613432. Its totient is φ = 8011776.

The previous prime is 31970879. The next prime is 31970881. The reversal of 31970880 is 8807913.

It is an interprime number because it is at equal distance from previous prime (31970879) and next prime (31970881).

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 28643904 = 1824^2 + 5352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31970881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48634 + ... + 49286.

Almost surely, 2^31970880 is an apocalyptic number.

31970880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58306716).

31970880 is an abundant number, since it is smaller than the sum of its proper divisors (84642552).

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

31970880 is a wasteful number, since it uses less digits than its factorization.

31970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 31970880 is about 5654.2797949872. The cubic root of 31970880 is about 317.3838788367.

The spelling of 31970880 in words is "thirty-one million, nine hundred seventy thousand, eight hundred eighty".