242635608 has 64 divisors (see below), whose sum is σ = 676368000. Its totient is φ = 80593056.

The previous prime is 242635607. The next prime is 242635637. The reversal of 242635608 is 806536242.

242635608 is a `hidden beast` number, since 2 + 42 + 6 + 3 + 5 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242635607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64483 + ... + 68141.

It is an arithmetic number, because the mean of its divisors is an integer number (10568250).

Almost surely, 2^242635608 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 242635608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338184000).

242635608 is an abundant number, since it is smaller than the sum of its proper divisors (433732392).

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

242635608 is a wasteful number, since it uses less digits than its factorization.

242635608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3971 counting only the distinct ones).

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

The square root of 242635608 is about 15576.7650043262. The cubic root of 242635608 is about 623.7130707464.

The spelling of 242635608 in words is "two hundred forty-two million, six hundred thirty-five thousand, six hundred eight".