165435696 has 100 divisors (see below), whose sum is σ = 483698952. Its totient is φ = 54584064.

The previous prime is 165435671. The next prime is 165435703. The reversal of 165435696 is 696534561.

165435696 is a `hidden beast` number, since 16 + 543 + 5 + 6 + 96 = 666.

It is a super-2 number, since 2×165435696² = 54737939022008832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138076 + ... + 139268.

Almost surely, 2^165435696 is an apocalyptic number.

165435696 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 165435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241849476).

165435696 is an abundant number, since it is smaller than the sum of its proper divisors (318263256).

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

165435696 is a wasteful number, since it uses less digits than its factorization.

165435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 165435696 is about 12862.1808415214. The cubic root of 165435696 is about 548.9630002835.

The spelling of 165435696 in words is "one hundred sixty-five million, four hundred thirty-five thousand, six hundred ninety-six".