165413600 has 72 divisors (see below), whose sum is σ = 440549928. Its totient is φ = 60147200.

The previous prime is 165413543. The next prime is 165413603. The reversal of 165413600 is 6314561.

It is a self number, because there is not a number n which added to its sum of digits gives 165413600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165413603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599 + ... + 18198.

It is an arithmetic number, because the mean of its divisors is an integer number (6118749).

Almost surely, 2^165413600 is an apocalyptic number.

165413600 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 165413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220274964).

165413600 is an abundant number, since it is smaller than the sum of its proper divisors (275136328).

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

165413600 is a wasteful number, since it uses less digits than its factorization.

165413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828 (or 18815 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 165413600 is about 12861.3218605243. The cubic root of 165413600 is about 548.9385589108.

The spelling of 165413600 in words is "one hundred sixty-five million, four hundred thirteen thousand, six hundred".