9957031920 has 840 divisors, whose sum is σ = 40882414608. Its totient is φ = 2244464640.

The previous prime is 9957031901. The next prime is 9957031957. The reversal of 9957031920 is 291307599.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 119964199 + ... + 119964281.

Almost surely, 2^9957031920 is an apocalyptic number.

9957031920 is a gapful number since it is divisible by the number (90) 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 9957031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441207304).

9957031920 is an abundant number, since it is smaller than the sum of its proper divisors (30925382688).

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

9957031920 is a wasteful number, since it uses less digits than its factorization.

9957031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9957031920 is about 99784.9283208642. The cubic root of 9957031920 is about 2151.3445291168.

The spelling of 9957031920 in words is "nine billion, nine hundred fifty-seven million, thirty-one thousand, nine hundred twenty".