164172800 has 198 divisors, whose sum is σ = 455748174. Its totient is φ = 58572800.

The previous prime is 164172793. The next prime is 164172817. The reversal of 164172800 is 8271461.

It can be written as a sum of positive squares in 3 ways, for example, as 20939776 + 143233024 = 4576^2 + 11968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3097574 + ... + 3097626.

Almost surely, 2^164172800 is an apocalyptic number.

164172800 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 164172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227874087).

164172800 is an abundant number, since it is smaller than the sum of its proper divisors (291575374).

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

164172800 is a wasteful number, since it uses less digits than its factorization.

164172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 164172800 is about 12812.9934051337. The cubic root of 164172800 is about 547.5625471518.

The spelling of 164172800 in words is "one hundred sixty-four million, one hundred seventy-two thousand, eight hundred".