165378960 has 60 divisors (see below), whose sum is σ = 555400092. Its totient is φ = 44100864.

The previous prime is 165378959. The next prime is 165378977. The reversal of 165378960 is 69873561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 125081856 = 6348^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114127 + ... + 115566.

Almost surely, 2^165378960 is an apocalyptic number.

165378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165378960 is an abundant number, since it is smaller than the sum of its proper divisors (390021132).

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

165378960 is a wasteful number, since it uses less digits than its factorization.

165378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229712 (or 229703 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 165378960 is about 12859.9751166167. The cubic root of 165378960 is about 548.9002376780.

The spelling of 165378960 in words is "one hundred sixty-five million, three hundred seventy-eight thousand, nine hundred sixty".