165338880 has 144 divisors (see below), whose sum is σ = 603585024. Its totient is φ = 37785600.

The previous prime is 165338857. The next prime is 165338891. The reversal of 165338880 is 88833561.

165338880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23805 + ... + 29955.

Almost surely, 2^165338880 is an apocalyptic number.

165338880 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 165338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301792512).

165338880 is an abundant number, since it is smaller than the sum of its proper divisors (438246144).

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

165338880 is an equidigital number, since it uses as much as digits as its factorization.

165338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 165338880 is about 12858.4166988008. The cubic root of 165338880 is about 548.8558916520.

The spelling of 165338880 in words is "one hundred sixty-five million, three hundred thirty-eight thousand, eight hundred eighty".