164600800 has 432 divisors, whose sum is σ = 561057840. Its totient is φ = 46448640.

The previous prime is 164600771. The next prime is 164600801. The reversal of 164600800 is 8006461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164600801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8663191 + ... + 8663209.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^164600800 is an apocalyptic number.

164600800 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 164600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528920).

164600800 is an abundant number, since it is smaller than the sum of its proper divisors (396457040).

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

164600800 is a wasteful number, since it uses less digits than its factorization.

164600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 164600800 is about 12829.6843297098. The cubic root of 164600800 is about 548.0379677816.

The spelling of 164600800 in words is "one hundred sixty-four million, six hundred thousand, eight hundred".