164205600 has 288 divisors, whose sum is σ = 608086080. Its totient is φ = 38154240.

The previous prime is 164205583. The next prime is 164205617. The reversal of 164205600 is 6502461.

It is an interprime number because it is at equal distance from previous prime (164205583) and next prime (164205617).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592662 + ... + 592938.

It is an arithmetic number, because the mean of its divisors is an integer number (2111410).

Almost surely, 2^164205600 is an apocalyptic number.

164205600 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 164205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304043040).

164205600 is an abundant number, since it is smaller than the sum of its proper divisors (443880480).

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

164205600 is a wasteful number, since it uses less digits than its factorization.

164205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164205600 is about 12814.2732919194. The cubic root of 164205600 is about 547.5990104710.

The spelling of 164205600 in words is "one hundred sixty-four million, two hundred five thousand, six hundred".