164023392 has 96 divisors (see below), whose sum is σ = 467050752. Its totient is φ = 50102784.

The previous prime is 164023367. The next prime is 164023417. The reversal of 164023392 is 293320461.

164023392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164023367) and next prime (164023417).

It is a tau number, because it is divible by the number of its divisors (96).

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, 208023 + ... + 208809.

It is an arithmetic number, because the mean of its divisors is an integer number (4865112).

Almost surely, 2^164023392 is an apocalyptic number.

164023392 is a gapful number since it is divisible by the number (12) 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 164023392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233525376).

164023392 is an abundant number, since it is smaller than the sum of its proper divisors (303027360).

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

164023392 is a wasteful number, since it uses less digits than its factorization.

164023392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 164023392 is about 12807.1617464605. The cubic root of 164023392 is about 547.3963908110.

The spelling of 164023392 in words is "one hundred sixty-four million, twenty-three thousand, three hundred ninety-two".