165918896 has 80 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 68947200.

The previous prime is 165918869. The next prime is 165918901. The reversal of 165918896 is 698819561.

165918896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 290291 + ... + 290861.

Almost surely, 2^165918896 is an apocalyptic number.

165918896 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 165918896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

165918896 is an abundant number, since it is smaller than the sum of its proper divisors (215390032).

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

165918896 is a wasteful number, since it uses less digits than its factorization.

165918896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 933120, while the sum is 53.

The square root of 165918896 is about 12880.9508965759. The cubic root of 165918896 is about 549.4969460859.

The spelling of 165918896 in words is "one hundred sixty-five million, nine hundred eighteen thousand, eight hundred ninety-six".