242612160 has 224 divisors, whose sum is σ = 893429760. Its totient is φ = 54632448.

The previous prime is 242612143. The next prime is 242612171. The reversal of 242612160 is 61216242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242612160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530652 + ... + 531108.

Almost surely, 2^242612160 is an apocalyptic number.

242612160 is a gapful number since it is divisible by the number (20) 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 242612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446714880).

242612160 is an abundant number, since it is smaller than the sum of its proper divisors (650817600).

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

242612160 is a wasteful number, since it uses less digits than its factorization.

242612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 242612160 is about 15576.0123266515. The cubic root of 242612160 is about 623.6929784836.

The spelling of 242612160 in words is "two hundred forty-two million, six hundred twelve thousand, one hundred sixty".