31948020 has 240 divisors, whose sum is σ = 113552208. Its totient is φ = 7464960.

The previous prime is 31948013. The next prime is 31948031. The reversal of 31948020 is 2084913.

It can be written as a sum of positive squares in 8 ways, for example, as 3175524 + 28772496 = 1782^2 + 5364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 779200 + ... + 779240.

Almost surely, 2^31948020 is an apocalyptic number.

31948020 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 31948020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776104).

31948020 is an abundant number, since it is smaller than the sum of its proper divisors (81604188).

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

31948020 is a wasteful number, since it uses less digits than its factorization.

31948020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31948020 is about 5652.2579558969. The cubic root of 31948020 is about 317.3082149260.

The spelling of 31948020 in words is "thirty-one million, nine hundred forty-eight thousand, twenty".