165787560 has 80 divisors (see below), whose sum is σ = 557241300. Its totient is φ = 44209152.

The previous prime is 165787543. The next prime is 165787571. The reversal of 165787560 is 65787561.

165787560 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 87 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148498596 + 17288964 = 12186^2 + 4158^2 .

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22345 + ... + 28824.

Almost surely, 2^165787560 is an apocalyptic number.

165787560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165787560 is an abundant number, since it is smaller than the sum of its proper divisors (391453740).

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

165787560 is a wasteful number, since it uses less digits than its factorization.

165787560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51192 (or 51179 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 165787560 is about 12875.8518164819. The cubic root of 165787560 is about 549.3519198448.

Subtracting from 165787560 its reverse (65787561), we obtain a palindrome (99999999).

The spelling of 165787560 in words is "one hundred sixty-five million, seven hundred eighty-seven thousand, five hundred sixty".