8929920 has 64 divisors (see below), whose sum is σ = 28470240. Its totient is φ = 2380800.

The previous prime is 8929919. The next prime is 8929927. The reversal of 8929920 is 299298.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8929927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 4245.

Almost surely, 2^8929920 is an apocalyptic number.

8929920 is a gapful number since it is divisible by the number (80) 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 8929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235120).

8929920 is an abundant number, since it is smaller than the sum of its proper divisors (19540320).

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

8929920 is a wasteful number, since it uses less digits than its factorization.

8929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 8929920 is about 2988.2971739772. The cubic root of 8929920 is about 207.4670775657.

The spelling of 8929920 in words is "eight million, nine hundred twenty-nine thousand, nine hundred twenty".