164496800 has 72 divisors (see below), whose sum is σ = 432495756. Its totient is φ = 60733440.

The previous prime is 164496799. The next prime is 164496803. The reversal of 164496800 is 8694461.

164496800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 63936016 + 100560784 = 7996^2 + 10028^2 .

It is not an unprimeable number, because it can be changed into a prime (164496803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2492 + ... + 18308.

Almost surely, 2^164496800 is an apocalyptic number.

164496800 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 164496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216247878).

164496800 is an abundant number, since it is smaller than the sum of its proper divisors (267998956).

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

164496800 is a wasteful number, since it uses less digits than its factorization.

164496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15850 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 164496800 is about 12825.6305887859. The cubic root of 164496800 is about 547.9225208805.

The spelling of 164496800 in words is "one hundred sixty-four million, four hundred ninety-six thousand, eight hundred".