242656164 has 72 divisors (see below), whose sum is σ = 677738880. Its totient is φ = 72813312.

The previous prime is 242656153. The next prime is 242656171. The reversal of 242656164 is 461656242.

242656164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5457 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (9413040).

Almost surely, 2^242656164 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 242656164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338869440).

242656164 is an abundant number, since it is smaller than the sum of its proper divisors (435082716).

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

242656164 is a wasteful number, since it uses less digits than its factorization.

242656164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17289 (or 17284 counting only the distinct ones).

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

The square root of 242656164 is about 15577.4248192697. The cubic root of 242656164 is about 623.7306838301.

The spelling of 242656164 in words is "two hundred forty-two million, six hundred fifty-six thousand, one hundred sixty-four".