164688348 has 48 divisors (see below), whose sum is σ = 423311616. Its totient is φ = 49416960.

The previous prime is 164688319. The next prime is 164688383. The reversal of 164688348 is 843886461.

It is a junction number, because it is equal to n+sod(n) for n = 164688297 and 164688306.

It is a congruent number.

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, 7540 + ... + 19652.

It is an arithmetic number, because the mean of its divisors is an integer number (8818992).

Almost surely, 2^164688348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164688348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211655808).

164688348 is an abundant number, since it is smaller than the sum of its proper divisors (258623268).

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

164688348 is a wasteful number, since it uses less digits than its factorization.

164688348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12232 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 164688348 is about 12833.0958073257. The cubic root of 164688348 is about 548.1351141787.

The spelling of 164688348 in words is "one hundred sixty-four million, six hundred eighty-eight thousand, three hundred forty-eight".