164912256 has 192 divisors, whose sum is σ = 503376120. Its totient is φ = 51757056.

The previous prime is 164912249. The next prime is 164912261. The reversal of 164912256 is 652219461.

164912256 is a `hidden beast` number, since 1 + 649 + 1 + 2 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164865600 + 46656 = 12840^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 164912256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259036 + ... + 2259108.

Almost surely, 2^164912256 is an apocalyptic number.

164912256 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 164912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251688060).

164912256 is an abundant number, since it is smaller than the sum of its proper divisors (338463864).

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

164912256 is a wasteful number, since it uses less digits than its factorization.

164912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 164912256 is about 12841.8166939106. The cubic root of 164912256 is about 548.3834139908.

The spelling of 164912256 in words is "one hundred sixty-four million, nine hundred twelve thousand, two hundred fifty-six".