165005640 has 64 divisors (see below), whose sum is σ = 550022400. Its totient is φ = 44001216.

The previous prime is 165005627. The next prime is 165005669. The reversal of 165005640 is 46500561.

It is a happy number.

165005640 is a `hidden beast` number, since 1 + 650 + 0 + 5 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×165005640² = 54453722463619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 75312 + ... + 77471.

It is an arithmetic number, because the mean of its divisors is an integer number (8594100).

Almost surely, 2^165005640 is an apocalyptic number.

165005640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165005640 is an abundant number, since it is smaller than the sum of its proper divisors (385016760).

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

165005640 is a wasteful number, since it uses less digits than its factorization.

165005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152803 (or 152793 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165005640 is about 12845.4521134914. The cubic root of 165005640 is about 548.4869045274.

The spelling of 165005640 in words is "one hundred sixty-five million, five thousand, six hundred forty".