165910080 has 168 divisors, whose sum is σ = 612940608. Its totient is φ = 37911552.

The previous prime is 165910007. The next prime is 165910117. The reversal of 165910080 is 80019561.

It is a happy number.

165910080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45277 + ... + 48803.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 2^165910080 is an apocalyptic number.

165910080 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 165910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306470304).

165910080 is an abundant number, since it is smaller than the sum of its proper divisors (447030528).

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

165910080 is a wasteful number, since it uses less digits than its factorization.

165910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 165910080 is about 12880.6086812697. The cubic root of 165910080 is about 549.4872135178.

The spelling of 165910080 in words is "one hundred sixty-five million, nine hundred ten thousand, eighty".