165935040 has 56 divisors (see below), whose sum is σ = 526846800. Its totient is φ = 44249088.

The previous prime is 165935017. The next prime is 165935057. The reversal of 165935040 is 40539561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165934992 and 165935010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85465 + ... + 87384.

Almost surely, 2^165935040 is an apocalyptic number.

165935040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165935040 is an abundant number, since it is smaller than the sum of its proper divisors (360911760).

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

165935040 is a wasteful number, since it uses less digits than its factorization.

165935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172869 (or 172859 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 165935040 is about 12881.5775431428. The cubic root of 165935040 is about 549.5147676264.

The spelling of 165935040 in words is "one hundred sixty-five million, nine hundred thirty-five thousand, forty".