164009760 has 48 divisors (see below), whose sum is σ = 516632256. Its totient is φ = 43735808.

The previous prime is 164009737. The next prime is 164009771. The reversal of 164009760 is 67900461.

It is a happy number.

164009760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170364 + ... + 171323.

It is an arithmetic number, because the mean of its divisors is an integer number (10763172).

Almost surely, 2^164009760 is an apocalyptic number.

164009760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164009760 is an abundant number, since it is smaller than the sum of its proper divisors (352622496).

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

164009760 is a wasteful number, since it uses less digits than its factorization.

164009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341705 (or 341697 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 164009760 is about 12806.6295331754. The cubic root of 164009760 is about 547.3812256685.

The spelling of 164009760 in words is "one hundred sixty-four million, nine thousand, seven hundred sixty".