165364800 has 168 divisors, whose sum is σ = 554833536. Its totient is φ = 43100160.

The previous prime is 165364769. The next prime is 165364807. The reversal of 165364800 is 8463561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165364807) 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 23 ways as a sum of consecutive naturals, for example, 225234 + ... + 225966.

Almost surely, 2^165364800 is an apocalyptic number.

165364800 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 165364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277416768).

165364800 is an abundant number, since it is smaller than the sum of its proper divisors (389468736).

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

165364800 is a wasteful number, since it uses less digits than its factorization.

165364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 165364800 is about 12859.4245594428. The cubic root of 165364800 is about 548.8845713377.

The spelling of 165364800 in words is "one hundred sixty-five million, three hundred sixty-four thousand, eight hundred".