164881620 has 144 divisors (see below), whose sum is σ = 541107840. Its totient is φ = 40497408.

The previous prime is 164881609. The next prime is 164881621. The reversal of 164881620 is 26188461.

164881620 is a `hidden beast` number, since 1 + 648 + 8 + 1 + 6 + 2 + 0 = 666.

It is a super-2 number, since 2×164881620² = 54371897227648800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164881621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125889 + ... + 127191.

Almost surely, 2^164881620 is an apocalyptic number.

164881620 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 164881620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270553920).

164881620 is an abundant number, since it is smaller than the sum of its proper divisors (376226220).

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

164881620 is a wasteful number, since it uses less digits than its factorization.

164881620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 164881620 is about 12840.6238166220. The cubic root of 164881620 is about 548.3494538815.

The spelling of 164881620 in words is "one hundred sixty-four million, eight hundred eighty-one thousand, six hundred twenty".