165597360 has 80 divisors (see below), whose sum is σ = 525903840. Its totient is φ = 43079680.

The previous prime is 165597353. The next prime is 165597379. The reversal of 165597360 is 63795561.

It is a happy number.

165597360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1426 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (6573798).

Almost surely, 2^165597360 is an apocalyptic number.

165597360 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 165597360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

165597360 is an abundant number, since it is smaller than the sum of its proper divisors (360306480).

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

165597360 is a wasteful number, since it uses less digits than its factorization.

165597360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16886 (or 16880 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 165597360 is about 12868.4637777786. The cubic root of 165597360 is about 549.1417578798.

The spelling of 165597360 in words is "one hundred sixty-five million, five hundred ninety-seven thousand, three hundred sixty".