164044800 has 252 divisors, whose sum is σ = 594211410. Its totient is φ = 43253760.

The previous prime is 164044723. The next prime is 164044817. The reversal of 164044800 is 8440461.

It can be written as a sum of positive squares in 3 ways, for example, as 95883264 + 68161536 = 9792^2 + 8256^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1843156 + ... + 1843244.

Almost surely, 2^164044800 is an apocalyptic number.

164044800 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 164044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297105705).

164044800 is an abundant number, since it is smaller than the sum of its proper divisors (430166610).

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

164044800 is an equidigital number, since it uses as much as digits as its factorization.

164044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164044800 is about 12807.9975015613. The cubic root of 164044800 is about 547.4202047967.

The spelling of 164044800 in words is "one hundred sixty-four million, forty-four thousand, eight hundred".