165952080 has 240 divisors, whose sum is σ = 670849920. Its totient is φ = 35914752.

The previous prime is 165952037. The next prime is 165952081. The reversal of 165952080 is 80259561.

It is a happy number.

165952080 is a `hidden beast` number, since 1 + 6 + 59 + 520 + 80 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165952081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94894 + ... + 96626.

It is an arithmetic number, because the mean of its divisors is an integer number (2795208).

Almost surely, 2^165952080 is an apocalyptic number.

165952080 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 165952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335424960).

165952080 is an abundant number, since it is smaller than the sum of its proper divisors (504897840).

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

165952080 is a wasteful number, since it uses less digits than its factorization.

165952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 165952080 is about 12882.2389358372. The cubic root of 165952080 is about 549.5335770174.

The spelling of 165952080 in words is "one hundred sixty-five million, nine hundred fifty-two thousand, eighty".