9957920 has 96 divisors (see below), whose sum is σ = 28522368. Its totient is φ = 3207168.

The previous prime is 9957901. The next prime is 9957947. The reversal of 9957920 is 297599.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18779 + ... + 19301.

It is an arithmetic number, because the mean of its divisors is an integer number (297108).

Almost surely, 2^9957920 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 9957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261184).

9957920 is an abundant number, since it is smaller than the sum of its proper divisors (18564448).

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

9957920 is a wasteful number, since it uses less digits than its factorization.

9957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 9957920 is about 3155.6172137951. The cubic root of 9957920 is about 215.1408487576.

It can be divided in two parts, 99579 and 20, that added together give a palindrome (99599).

The spelling of 9957920 in words is "nine million, nine hundred fifty-seven thousand, nine hundred twenty".