164960820 has 48 divisors (see below), whose sum is σ = 513213120. Its totient is φ = 43989408.

The previous prime is 164960813. The next prime is 164960849. The reversal of 164960820 is 28069461.

164960820 is a `hidden beast` number, since 1 + 6 + 49 + 608 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 152202 + ... + 153281.

It is an arithmetic number, because the mean of its divisors is an integer number (10691940).

Almost surely, 2^164960820 is an apocalyptic number.

164960820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164960820 is an abundant number, since it is smaller than the sum of its proper divisors (348252300).

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

164960820 is a wasteful number, since it uses less digits than its factorization.

164960820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305501 (or 305493 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164960820 is about 12843.7074086885. The cubic root of 164960820 is about 548.4372387317.

The spelling of 164960820 in words is "one hundred sixty-four million, nine hundred sixty thousand, eight hundred twenty".