165414960 has 240 divisors, whose sum is σ = 589295616. Its totient is φ = 43110144.

The previous prime is 165414943. The next prime is 165414971. The reversal of 165414960 is 69414561.

165414960 is a `hidden beast` number, since 16 + 541 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302417 + ... + 1302543.

Almost surely, 2^165414960 is an apocalyptic number.

165414960 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 165414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294647808).

165414960 is an abundant number, since it is smaller than the sum of its proper divisors (423880656).

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

165414960 is a wasteful number, since it uses less digits than its factorization.

165414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165414960 is about 12861.3747321194. The cubic root of 165414960 is about 548.9400633304.

The spelling of 165414960 in words is "one hundred sixty-five million, four hundred fourteen thousand, nine hundred sixty".