8479920 has 80 divisors (see below), whose sum is σ = 26650080. Its totient is φ = 2230272.

The previous prime is 8479903. The next prime is 8479937. The reversal of 8479920 is 299748.

It is an interprime number because it is at equal distance from previous prime (8479903) and next prime (8479937).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21162 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (333126).

Almost surely, 2^8479920 is an apocalyptic number.

8479920 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 8479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325040).

8479920 is an abundant number, since it is smaller than the sum of its proper divisors (18170160).

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

8479920 is a wasteful number, since it uses less digits than its factorization.

8479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 8479920 is about 2912.0302196234. The cubic root of 8479920 is about 203.9219232165.

The spelling of 8479920 in words is "eight million, four hundred seventy-nine thousand, nine hundred twenty".