165084800 has 96 divisors (see below), whose sum is σ = 425731680. Its totient is φ = 63134720.

The previous prime is 165084779. The next prime is 165084809. The reversal of 165084800 is 8480561.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (165084809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72479 + ... + 74721.

It is an arithmetic number, because the mean of its divisors is an integer number (4434705).

Almost surely, 2^165084800 is an apocalyptic number.

165084800 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 165084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212865840).

165084800 is an abundant number, since it is smaller than the sum of its proper divisors (260646880).

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

165084800 is a wasteful number, since it uses less digits than its factorization.

165084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 165084800 is about 12848.5329901900. The cubic root of 165084800 is about 548.5746010895.

The spelling of 165084800 in words is "one hundred sixty-five million, eighty-four thousand, eight hundred".