165829180 has 48 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 59950400.

The previous prime is 165829109. The next prime is 165829187. The reversal of 165829180 is 81928561.

165829180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165829187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37275 + ... + 41485.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^165829180 is an apocalyptic number.

165829180 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 165829180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

165829180 is an abundant number, since it is smaller than the sum of its proper divisors (216283460).

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

165829180 is a wasteful number, since it uses less digits than its factorization.

165829180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 165829180 is about 12877.4679188107. The cubic root of 165829180 is about 549.3978865303.

The spelling of 165829180 in words is "one hundred sixty-five million, eight hundred twenty-nine thousand, one hundred eighty".