164560800 has 72 divisors (see below), whose sum is σ = 535653216. Its totient is φ = 43882240.

The previous prime is 164560789. The next prime is 164560811. The reversal of 164560800 is 8065461.

It is an interprime number because it is at equal distance from previous prime (164560789) and next prime (164560811).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31884 + ... + 36683.

It is an arithmetic number, because the mean of its divisors is an integer number (7439628).

Almost surely, 2^164560800 is an apocalyptic number.

164560800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164560800 is an abundant number, since it is smaller than the sum of its proper divisors (371092416).

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

164560800 is a wasteful number, since it uses less digits than its factorization.

164560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68590 (or 68577 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 164560800 is about 12828.1253501827. The cubic root of 164560800 is about 547.9935708838.

The spelling of 164560800 in words is "one hundred sixty-four million, five hundred sixty thousand, eight hundred".