164293056 has 112 divisors (see below), whose sum is σ = 498734080. Its totient is φ = 52980480.

The previous prime is 164293009. The next prime is 164293093. The reversal of 164293056 is 650392461.

It is a happy number.

164293056 is a `hidden beast` number, since 1 + 642 + 9 + 3 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164293056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52035 + ... + 55101.

Almost surely, 2^164293056 is an apocalyptic number.

164293056 is a gapful number since it is divisible by the number (16) 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 164293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249367040).

164293056 is an abundant number, since it is smaller than the sum of its proper divisors (334441024).

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

164293056 is a wasteful number, since it uses less digits than its factorization.

164293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 164293056 is about 12817.6852824525. The cubic root of 164293056 is about 547.6962104028.

The spelling of 164293056 in words is "one hundred sixty-four million, two hundred ninety-three thousand, fifty-six".