165985456 has 40 divisors (see below), whose sum is σ = 395814944. Its totient is φ = 65664000.

The previous prime is 165985451. The next prime is 165985487. The reversal of 165985456 is 654589561.

165985456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165985451) 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, 55545 + ... + 58456.

Almost surely, 2^165985456 is an apocalyptic number.

165985456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165985456 is an abundant number, since it is smaller than the sum of its proper divisors (229829488).

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

165985456 is a wasteful number, since it uses less digits than its factorization.

165985456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114029 (or 114023 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 49.

The square root of 165985456 is about 12883.5342976995. The cubic root of 165985456 is about 549.5704149673.

The spelling of 165985456 in words is "one hundred sixty-five million, nine hundred eighty-five thousand, four hundred fifty-six".