165842580 has 48 divisors (see below), whose sum is σ = 465139584. Its totient is φ = 44150400.

The previous prime is 165842533. The next prime is 165842587. The reversal of 165842580 is 85248561.

It is a super-2 number, since 2×165842580² = 55007522682112800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165842587) by changing a digit.

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, 40089 + ... + 44031.

It is an arithmetic number, because the mean of its divisors is an integer number (9690408).

Almost surely, 2^165842580 is an apocalyptic number.

165842580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165842580 is the 10515-th pentagonal number.

It is an amenable number.

165842580 is an abundant number, since it is smaller than the sum of its proper divisors (299297004).

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

165842580 is a wasteful number, since it uses less digits than its factorization.

165842580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 165842580 is about 12877.9881969196. The cubic root of 165842580 is about 549.4126843550.

The spelling of 165842580 in words is "one hundred sixty-five million, eight hundred forty-two thousand, five hundred eighty".