165564080 has 80 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 58909440.

The previous prime is 165564059. The next prime is 165564107. The reversal of 165564080 is 80465561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×165564080² = 54822929172492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165564080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39359 + ... + 43361.

Almost surely, 2^165564080 is an apocalyptic number.

165564080 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 165564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

165564080 is an abundant number, since it is smaller than the sum of its proper divisors (263408464).

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

165564080 is a wasteful number, since it uses less digits than its factorization.

165564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 165564080 is about 12867.1706291632. The cubic root of 165564080 is about 549.1049685210.

The spelling of 165564080 in words is "one hundred sixty-five million, five hundred sixty-four thousand, eighty".