165474960 has 120 divisors (see below), whose sum is σ = 596765376. Its totient is φ = 37820160.

The previous prime is 165474929. The next prime is 165474961. The reversal of 165474960 is 69474561.

165474960 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (165474961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4725 + ... + 18795.

Almost surely, 2^165474960 is an apocalyptic number.

165474960 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 165474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298382688).

165474960 is an abundant number, since it is smaller than the sum of its proper divisors (431290416).

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

165474960 is a wasteful number, since it uses less digits than its factorization.

165474960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 165474960 is about 12863.7070862174. The cubic root of 165474960 is about 549.0064265790.

The spelling of 165474960 in words is "one hundred sixty-five million, four hundred seventy-four thousand, nine hundred sixty".