242910864 has 120 divisors (see below), whose sum is σ = 783045120. Its totient is φ = 68857344.

The previous prime is 242910853. The next prime is 242910881. The reversal of 242910864 is 468019242.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 137217 + ... + 138975.

It is an arithmetic number, because the mean of its divisors is an integer number (6525376).

Almost surely, 2^242910864 is an apocalyptic number.

242910864 is a gapful number since it is divisible by the number (24) 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 242910864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391522560).

242910864 is an abundant number, since it is smaller than the sum of its proper divisors (540134256).

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

242910864 is a wasteful number, since it uses less digits than its factorization.

242910864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 242910864 is about 15585.5979673543. The cubic root of 242910864 is about 623.9488370280.

The spelling of 242910864 in words is "two hundred forty-two million, nine hundred ten thousand, eight hundred sixty-four".