164664108 has 216 divisors, whose sum is σ = 541522800. Its totient is φ = 41948928.

The previous prime is 164664079. The next prime is 164664109. The reversal of 164664108 is 801466461.

164664108 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 641 + 0 + 8 = 666.

It is a super-2 number, since 2×164664108² = 54228536926871328, 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 (164664109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8666523 + ... + 8666541.

It is an arithmetic number, because the mean of its divisors is an integer number (2507050).

Almost surely, 2^164664108 is an apocalyptic number.

164664108 is a gapful number since it is divisible by the number (18) 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 164664108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270761400).

164664108 is an abundant number, since it is smaller than the sum of its proper divisors (376858692).

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

164664108 is a wasteful number, since it uses less digits than its factorization.

164664108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164664108 is about 12832.1513395066. The cubic root of 164664108 is about 548.1082200536.

The spelling of 164664108 in words is "one hundred sixty-four million, six hundred sixty-four thousand, one hundred eight".