242636688 has 320 divisors, whose sum is σ = 866611200. Its totient is φ = 63452160.

The previous prime is 242636687. The next prime is 242636741. The reversal of 242636688 is 886636242.

242636688 is a `hidden beast` number, since 2 + 4 + 2 + 636 + 6 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242636687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355645 + ... + 2355747.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^242636688 is an apocalyptic number.

242636688 is a gapful number since it is divisible by the number (28) 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 242636688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433305600).

242636688 is an abundant number, since it is smaller than the sum of its proper divisors (623974512).

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

242636688 is a wasteful number, since it uses less digits than its factorization.

242636688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 242636688 is about 15576.7996713060. The cubic root of 242636688 is about 623.7139961521.

The spelling of 242636688 in words is "two hundred forty-two million, six hundred thirty-six thousand, six hundred eighty-eight".