165887190 has 160 divisors (see below), whose sum is σ = 540074304. Its totient is φ = 35665920.

The previous prime is 165887177. The next prime is 165887251. The reversal of 165887190 is 91788561.

It is a super-2 number, since 2×165887190² = 55037119612192200, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95530 + ... + 97250.

Almost surely, 2^165887190 is an apocalyptic number.

165887190 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 165887190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270037152).

165887190 is an abundant number, since it is smaller than the sum of its proper divisors (374187114).

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

165887190 is a wasteful number, since it uses less digits than its factorization.

165887190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 165887190 is about 12879.7201056545. The cubic root of 165887190 is about 549.4619421161.

The spelling of 165887190 in words is "one hundred sixty-five million, eight hundred eighty-seven thousand, one hundred ninety".