268852584 has 384 divisors, whose sum is σ = 983162880. Its totient is φ = 59097600.

The previous prime is 268852567. The next prime is 268852627. The reversal of 268852584 is 485258862.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8672649 + ... + 8672679.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^268852584 is an apocalyptic number.

268852584 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 268852584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

268852584 is an abundant number, since it is smaller than the sum of its proper divisors (714310296).

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

268852584 is a wasteful number, since it uses less digits than its factorization.

268852584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 268852584 is about 16396.7247949095. The cubic root of 268852584 is about 645.4135392631.

The spelling of 268852584 in words is "two hundred sixty-eight million, eight hundred fifty-two thousand, five hundred eighty-four".