165955020 has 192 divisors, whose sum is σ = 613702656. Its totient is φ = 32440320.

The previous prime is 165955001. The next prime is 165955033. The reversal of 165955020 is 20559561.

It is a super-4 number, since 4×165955020⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 77484 + ... + 79596.

It is an arithmetic number, because the mean of its divisors is an integer number (3196368).

Almost surely, 2^165955020 is an apocalyptic number.

165955020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165955020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306851328).

165955020 is an abundant number, since it is smaller than the sum of its proper divisors (447747636).

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

165955020 is a wasteful number, since it uses less digits than its factorization.

165955020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 165955020 is about 12882.3530459307. The cubic root of 165955020 is about 549.5368221694.

The spelling of 165955020 in words is "one hundred sixty-five million, nine hundred fifty-five thousand, twenty".