164800710 has 64 divisors (see below), whose sum is σ = 440985600. Its totient is φ = 43795296.

The previous prime is 164800709. The next prime is 164800723. The reversal of 164800710 is 17008461.

It is a happy number.

164800710 is a `hidden beast` number, since 1 + 648 + 0 + 0 + 7 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92811 + ... + 94569.

It is an arithmetic number, because the mean of its divisors is an integer number (6890400).

Almost surely, 2^164800710 is an apocalyptic number.

164800710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164800710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220492800).

164800710 is an abundant number, since it is smaller than the sum of its proper divisors (276184890).

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

164800710 is a wasteful number, since it uses less digits than its factorization.

164800710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 164800710 is about 12837.4728821525. The cubic root of 164800710 is about 548.2597446435.

The spelling of 164800710 in words is "one hundred sixty-four million, eight hundred thousand, seven hundred ten".