242626760 has 64 divisors (see below), whose sum is σ = 580100400. Its totient is φ = 91155456.

The previous prime is 242626759. The next prime is 242626763. The reversal of 242626760 is 67626242.

It can be written as a sum of positive squares in 8 ways, for example, as 193710724 + 48916036 = 13918^2 + 6994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242626760.

It is not an unprimeable number, because it can be changed into a prime (242626763) by changing a digit.

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, 40094 + ... + 45746.

Almost surely, 2^242626760 is an apocalyptic number.

242626760 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 242626760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290050200).

242626760 is an abundant number, since it is smaller than the sum of its proper divisors (337473640).

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

242626760 is a wasteful number, since it uses less digits than its factorization.

242626760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 242626760 is about 15576.4809889782. The cubic root of 242626760 is about 623.7054891712.

The spelling of 242626760 in words is "two hundred forty-two million, six hundred twenty-six thousand, seven hundred sixty".