164536000 has 112 divisors (see below), whose sum is σ = 413199072. Its totient is φ = 64896000.

The previous prime is 164535983. The next prime is 164536019. The reversal of 164536000 is 635461.

164536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047922 + ... + 1048078.

Almost surely, 2^164536000 is an apocalyptic number.

164536000 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 164536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206599536).

164536000 is an abundant number, since it is smaller than the sum of its proper divisors (248663072).

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

164536000 is a wasteful number, since it uses less digits than its factorization.

164536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 164536000 is about 12827.1586877219. The cubic root of 164536000 is about 547.9660411940.

The spelling of 164536000 in words is "one hundred sixty-four million, five hundred thirty-six thousand".