164006720 has 28 divisors (see below), whose sum is σ = 390541764. Its totient is φ = 65602560.

The previous prime is 164006693. The next prime is 164006737. The reversal of 164006720 is 27600461.

It can be written as a sum of positive squares in 2 ways, for example, as 124367104 + 39639616 = 11152^2 + 6296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164006720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255941 + ... + 256580.

Almost surely, 2^164006720 is an apocalyptic number.

164006720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164006720 is an abundant number, since it is smaller than the sum of its proper divisors (226535044).

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

164006720 is an equidigital number, since it uses as much as digits as its factorization.

164006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512538 (or 512528 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 164006720 is about 12806.5108440980. The cubic root of 164006720 is about 547.3778436559.

The spelling of 164006720 in words is "one hundred sixty-four million, six thousand, seven hundred twenty".