164920800 has 144 divisors (see below), whose sum is σ = 585712512. Its totient is φ = 39974400.

The previous prime is 164920793. The next prime is 164920801. The reversal of 164920800 is 8029461.

It is a super-3 number, since 3×164920800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164920801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23277 + ... + 29523.

It is an arithmetic number, because the mean of its divisors is an integer number (4067448).

Almost surely, 2^164920800 is an apocalyptic number.

164920800 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 164920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292856256).

164920800 is an abundant number, since it is smaller than the sum of its proper divisors (420791712).

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

164920800 is a wasteful number, since it uses less digits than its factorization.

164920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164920800 is about 12842.1493528147. The cubic root of 164920800 is about 548.3928842936.

The spelling of 164920800 in words is "one hundred sixty-four million, nine hundred twenty thousand, eight hundred".