8579920 has 40 divisors (see below), whose sum is σ = 20820096. Its totient is φ = 3282048.

The previous prime is 8579903. The next prime is 8579927. The reversal of 8579920 is 299758.

It is a tau number, because it is divible by the number of its divisors (40).

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 (8579927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 4171.

Almost surely, 2^8579920 is an apocalyptic number.

8579920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8579920 is an abundant number, since it is smaller than the sum of its proper divisors (12240176).

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

8579920 is a wasteful number, since it uses less digits than its factorization.

8579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 8579920 is about 2929.1500473687. The cubic root of 8579920 is about 204.7203802239.

The spelling of 8579920 in words is "eight million, five hundred seventy-nine thousand, nine hundred twenty".