9992920 has 64 divisors (see below), whose sum is σ = 26049600. Its totient is φ = 3379200.

The previous prime is 9992909. The next prime is 9992921. The reversal of 9992920 is 292999.

9992920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24720 + ... + 25120.

It is an arithmetic number, because the mean of its divisors is an integer number (407025).

Almost surely, 2^9992920 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 9992920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024800).

9992920 is an abundant number, since it is smaller than the sum of its proper divisors (16056680).

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

9992920 is a wasteful number, since it uses less digits than its factorization.

9992920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 9992920 is about 3161.1580156645. The cubic root of 9992920 is about 215.3926123404.

The spelling of 9992920 in words is "nine million, nine hundred ninety-two thousand, nine hundred twenty".