165944160 has 192 divisors, whose sum is σ = 587865600. Its totient is φ = 43716096.

The previous prime is 165944159. The next prime is 165944171. The reversal of 165944160 is 61449561.

165944160 is a `hidden beast` number, since 1 + 6 + 594 + 4 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462061 + ... + 462419.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^165944160 is an apocalyptic number.

165944160 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 165944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

165944160 is an abundant number, since it is smaller than the sum of its proper divisors (421921440).

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

165944160 is a wasteful number, since it uses less digits than its factorization.

165944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

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

The square root of 165944160 is about 12881.9315321888. The cubic root of 165944160 is about 549.5248347846.

The spelling of 165944160 in words is "one hundred sixty-five million, nine hundred forty-four thousand, one hundred sixty".