165888360 has 192 divisors, whose sum is σ = 594060480. Its totient is φ = 39813120.

The previous prime is 165888343. The next prime is 165888389. The reversal of 165888360 is 63888561.

165888360 is a `hidden beast` number, since 1 + 6 + 588 + 8 + 3 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 645352 + ... + 645608.

It is an arithmetic number, because the mean of its divisors is an integer number (3094065).

Almost surely, 2^165888360 is an apocalyptic number.

165888360 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 165888360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297030240).

165888360 is an abundant number, since it is smaller than the sum of its proper divisors (428172120).

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

165888360 is a wasteful number, since it uses less digits than its factorization.

165888360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 165888360 is about 12879.7655258161. The cubic root of 165888360 is about 549.4632338955.

The spelling of 165888360 in words is "one hundred sixty-five million, eight hundred eighty-eight thousand, three hundred sixty".