165584920 has 32 divisors (see below), whose sum is σ = 373180320. Its totient is φ = 66124800.

The previous prime is 165584911. The next prime is 165584921. The reversal of 165584920 is 29485561.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165584921) 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, 23845 + ... + 29995.

It is an arithmetic number, because the mean of its divisors is an integer number (11661885).

Almost surely, 2^165584920 is an apocalyptic number.

165584920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165584920 is an abundant number, since it is smaller than the sum of its proper divisors (207595400).

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

165584920 is a wasteful number, since it uses less digits than its factorization.

165584920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 165584920 is about 12867.9804165222. The cubic root of 165584920 is about 549.1280066651.

The spelling of 165584920 in words is "one hundred sixty-five million, five hundred eighty-four thousand, nine hundred twenty".