165900870 has 48 divisors (see below), whose sum is σ = 433622592. Its totient is φ = 44006400.

The previous prime is 165900857. The next prime is 165900887. The reversal of 165900870 is 78009561.

165900870 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12595 + ... + 22145.

It is an arithmetic number, because the mean of its divisors is an integer number (9033804).

Almost surely, 2^165900870 is an apocalyptic number.

165900870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165900870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216811296).

165900870 is an abundant number, since it is smaller than the sum of its proper divisors (267721722).

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

165900870 is a wasteful number, since it uses less digits than its factorization.

165900870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 165900870 is about 12880.2511621474. The cubic root of 165900870 is about 549.4770456186.

The spelling of 165900870 in words is "one hundred sixty-five million, nine hundred thousand, eight hundred seventy".