164459600 has 60 divisors (see below), whose sum is σ = 396666204. Its totient is φ = 65525760.

The previous prime is 164459587. The next prime is 164459621. The reversal of 164459600 is 6954461.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 164044864 = 644^2 + 12808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126152 + ... + 127448.

Almost surely, 2^164459600 is an apocalyptic number.

164459600 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 164459600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198333102).

164459600 is an abundant number, since it is smaller than the sum of its proper divisors (232206604).

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

164459600 is a wasteful number, since it uses less digits than its factorization.

164459600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 164459600 is about 12824.1802856947. The cubic root of 164459600 is about 547.8812145969.

The spelling of 164459600 in words is "one hundred sixty-four million, four hundred fifty-nine thousand, six hundred".