164242656 has 72 divisors (see below), whose sum is σ = 468599040. Its totient is φ = 54567936.

The previous prime is 164242651. The next prime is 164242699. The reversal of 164242656 is 656242461.

164242656 is a `hidden beast` number, since 1 + 642 + 4 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 164242656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164242651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109560 + ... + 111048.

It is an arithmetic number, because the mean of its divisors is an integer number (6508320).

Almost surely, 2^164242656 is an apocalyptic number.

164242656 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 164242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234299520).

164242656 is an abundant number, since it is smaller than the sum of its proper divisors (304356384).

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

164242656 is a wasteful number, since it uses less digits than its factorization.

164242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164242656 is about 12815.7190980452. The cubic root of 164242656 is about 547.6401992870.

The spelling of 164242656 in words is "one hundred sixty-four million, two hundred forty-two thousand, six hundred fifty-six".