165516840 has 96 divisors (see below), whose sum is σ = 540727200. Its totient is φ = 43908480.

The previous prime is 165516829. The next prime is 165516859. The reversal of 165516840 is 48615561.

165516840 is a `hidden beast` number, since 1 + 6 + 551 + 68 + 40 = 666.

165516840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 165516795 and 165516804.

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, 74871 + ... + 77049.

It is an arithmetic number, because the mean of its divisors is an integer number (5632575).

Almost surely, 2^165516840 is an apocalyptic number.

165516840 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 165516840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270363600).

165516840 is an abundant number, since it is smaller than the sum of its proper divisors (375210360).

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

165516840 is a wasteful number, since it uses less digits than its factorization.

165516840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165516840 is about 12865.3348188067. The cubic root of 165516840 is about 549.0527386206.

The spelling of 165516840 in words is "one hundred sixty-five million, five hundred sixteen thousand, eight hundred forty".