79584960 has 224 divisors, whose sum is σ = 311334912. Its totient is φ = 16773120.

The previous prime is 79584949. The next prime is 79584971. The reversal of 79584960 is 6948597.

It is an interprime number because it is at equal distance from previous prime (79584949) and next prime (79584971).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 86905 + ... + 87815.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^79584960 is an apocalyptic number.

79584960 is a gapful number since it is divisible by the number (70) 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 79584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

79584960 is an abundant number, since it is smaller than the sum of its proper divisors (231749952).

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

79584960 is a wasteful number, since it uses less digits than its factorization.

79584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 79584960 is about 8921.0402980818. The cubic root of 79584960 is about 430.1404985268.

The spelling of 79584960 in words is "seventy-nine million, five hundred eighty-four thousand, nine hundred sixty".