164067660 has 96 divisors (see below), whose sum is σ = 537331200. Its totient is φ = 41446080.

The previous prime is 164067653. The next prime is 164067689. The reversal of 164067660 is 66760461.

164067660 is a `hidden beast` number, since 1 + 640 + 6 + 7 + 6 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (5597200).

Almost surely, 2^164067660 is an apocalyptic number.

164067660 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 164067660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268665600).

164067660 is an abundant number, since it is smaller than the sum of its proper divisors (373263540).

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

164067660 is a wasteful number, since it uses less digits than its factorization.

164067660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 164067660 is about 12808.8898816408. The cubic root of 164067660 is about 547.4456316814.

The spelling of 164067660 in words is "one hundred sixty-four million, sixty-seven thousand, six hundred sixty".