164880000 has 240 divisors, whose sum is σ = 595473450. Its totient is φ = 43776000.

The previous prime is 164879999. The next prime is 164880007. The reversal of 164880000 is 88461.

164880000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 21455424 + 143424576 = 4632^2 + 11976^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (164880007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719886 + ... + 720114.

Almost surely, 2^164880000 is an apocalyptic number.

164880000 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 164880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297736725).

164880000 is an abundant number, since it is smaller than the sum of its proper divisors (430593450).

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

164880000 is an equidigital number, since it uses as much as digits as its factorization.

164880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164880000 is about 12840.5607354196. The cubic root of 164880000 is about 548.3476579890.

The spelling of 164880000 in words is "one hundred sixty-four million, eight hundred eighty thousand".