165991296 has 64 divisors (see below), whose sum is σ = 464140800. Its totient is φ = 52416000.

The previous prime is 165991291. The next prime is 165991303. The reversal of 165991296 is 692199561.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×165991296² = 55106220695519232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165991291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (7252200).

Almost surely, 2^165991296 is an apocalyptic number.

165991296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165991296 is an abundant number, since it is smaller than the sum of its proper divisors (298149504).

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

165991296 is a wasteful number, since it uses less digits than its factorization.

165991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22787 (or 22775 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The square root of 165991296 is about 12883.7609415884. The cubic root of 165991296 is about 549.5768602179.

The spelling of 165991296 in words is "one hundred sixty-five million, nine hundred ninety-one thousand, two hundred ninety-six".