164930688 has 128 divisors (see below), whose sum is σ = 524361600. Its totient is φ = 50734080.

The previous prime is 164930687. The next prime is 164930713. The reversal of 164930688 is 886039461.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (164930683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43093 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (4096575).

Almost surely, 2^164930688 is an apocalyptic number.

164930688 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 164930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262180800).

164930688 is an abundant number, since it is smaller than the sum of its proper divisors (359430912).

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

164930688 is a wasteful number, since it uses less digits than its factorization.

164930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 164930688 is about 12842.5343293292. The cubic root of 164930688 is about 548.4038438986.

The spelling of 164930688 in words is "one hundred sixty-four million, nine hundred thirty thousand, six hundred eighty-eight".