164844400 has 120 divisors (see below), whose sum is σ = 457497504. Its totient is φ = 55910400.

The previous prime is 164844397. The next prime is 164844401. The reversal of 164844400 is 4448461.

164844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164844400² = 54347352422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164844401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316140 + ... + 316660.

Almost surely, 2^164844400 is an apocalyptic number.

164844400 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 164844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228748752).

164844400 is an abundant number, since it is smaller than the sum of its proper divisors (292653104).

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

164844400 is a wasteful number, since it uses less digits than its factorization.

164844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 164844400 is about 12839.1744282878. The cubic root of 164844400 is about 548.3081897257.

The spelling of 164844400 in words is "one hundred sixty-four million, eight hundred forty-four thousand, four hundred".