16165120 has 72 divisors (see below), whose sum is σ = 39477816. Its totient is φ = 6340608.

The previous prime is 16165117. The next prime is 16165139. The reversal of 16165120 is 2156161.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 11075584 = 2256^2 + 3328^2 .

It is a super-2 number, since 2×16165120² = 522622209228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16165091 and 16165100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93354 + ... + 93526.

It is an arithmetic number, because the mean of its divisors is an integer number (548303).

Almost surely, 2^16165120 is an apocalyptic number.

16165120 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 16165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738908).

16165120 is an abundant number, since it is smaller than the sum of its proper divisors (23312696).

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

16165120 is an equidigital number, since it uses as much as digits as its factorization.

16165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 16165120 is about 4020.5870218166. The cubic root of 16165120 is about 252.8480707603.

The spelling of 16165120 in words is "sixteen million, one hundred sixty-five thousand, one hundred twenty".