9934920 has 64 divisors (see below), whose sum is σ = 33120000. Its totient is φ = 2649024.

The previous prime is 9934901. The next prime is 9934927. The reversal of 9934920 is 294399.

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 (9934927) 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, 3520 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (517500).

Almost surely, 2^9934920 is an apocalyptic number.

9934920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9934920 is an abundant number, since it is smaller than the sum of its proper divisors (23185080).

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

9934920 is a wasteful number, since it uses less digits than its factorization.

9934920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9934920 is about 3151.9708120476. The cubic root of 9934920 is about 214.9750827442.

The spelling of 9934920 in words is "nine million, nine hundred thirty-four thousand, nine hundred twenty".