165926880 has 480 divisors, whose sum is σ = 702535680. Its totient is φ = 36080640.

The previous prime is 165926879. The next prime is 165926903. The reversal of 165926880 is 88629561.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812291 + ... + 2812349.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^165926880 is an apocalyptic number.

165926880 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 165926880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351267840).

165926880 is an abundant number, since it is smaller than the sum of its proper divisors (536608800).

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

165926880 is a wasteful number, since it uses less digits than its factorization.

165926880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 165926880 is about 12881.2608078557. The cubic root of 165926880 is about 549.5057598565.

The spelling of 165926880 in words is "one hundred sixty-five million, nine hundred twenty-six thousand, eight hundred eighty".