164129680 has 80 divisors (see below), whose sum is σ = 448346304. Its totient is φ = 55088640.

The previous prime is 164129677. The next prime is 164129729. The reversal of 164129680 is 86921461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4267 + ... + 18613.

Almost surely, 2^164129680 is an apocalyptic number.

164129680 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 164129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224173152).

164129680 is an abundant number, since it is smaller than the sum of its proper divisors (284216624).

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

164129680 is a wasteful number, since it uses less digits than its factorization.

164129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14384 (or 14378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 164129680 is about 12811.3106277227. The cubic root of 164129680 is about 547.5146038375.

The spelling of 164129680 in words is "one hundred sixty-four million, one hundred twenty-nine thousand, six hundred eighty".