8719920 has 160 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 2108160.

The previous prime is 8719903. The next prime is 8719939. The reversal of 8719920 is 299178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23577 + ... + 23943.

It is an arithmetic number, because the mean of its divisors is an integer number (205344).

Almost surely, 2^8719920 is an apocalyptic number.

8719920 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 8719920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

8719920 is an abundant number, since it is smaller than the sum of its proper divisors (24135120).

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

8719920 is a wasteful number, since it uses less digits than its factorization.

8719920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8719920 is about 2952.9510663064. The cubic root of 8719920 is about 205.8278638674.

The spelling of 8719920 in words is "eight million, seven hundred nineteen thousand, nine hundred twenty".