165079920 has 80 divisors (see below), whose sum is σ = 513851040. Its totient is φ = 43840512.

The previous prime is 165079907. The next prime is 165079927. The reversal of 165079920 is 29970561.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165079927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63282 + ... + 65838.

It is an arithmetic number, because the mean of its divisors is an integer number (6423138).

Almost surely, 2^165079920 is an apocalyptic number.

165079920 is a gapful number since it is divisible by the number (10) 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 165079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256925520).

165079920 is an abundant number, since it is smaller than the sum of its proper divisors (348771120).

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

165079920 is a wasteful number, since it uses less digits than its factorization.

165079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 165079920 is about 12848.3430838377. The cubic root of 165079920 is about 548.5691956444.

The spelling of 165079920 in words is "one hundred sixty-five million, seventy-nine thousand, nine hundred twenty".