165900096 has 224 divisors, whose sum is σ = 533196800. Its totient is φ = 50388480.

The previous prime is 165900067. The next prime is 165900113. The reversal of 165900096 is 690009561.

165900096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165900096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017711 + ... + 1017873.

Almost surely, 2^165900096 is an apocalyptic number.

165900096 is a gapful number since it is divisible by the number (16) 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 165900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266598400).

165900096 is an abundant number, since it is smaller than the sum of its proper divisors (367296704).

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

165900096 is a wasteful number, since it uses less digits than its factorization.

165900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 165900096 is about 12880.2211161144. The cubic root of 165900096 is about 549.4761911005.

The spelling of 165900096 in words is "one hundred sixty-five million, nine hundred thousand, ninety-six".