268896600 has 144 divisors (see below), whose sum is σ = 1032099120. Its totient is φ = 61459200.

The previous prime is 268896583. The next prime is 268896623. The reversal of 268896600 is 6698862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1930 + ... + 23270.

It is an arithmetic number, because the mean of its divisors is an integer number (7167355).

Almost surely, 2^268896600 is an apocalyptic number.

268896600 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 268896600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516049560).

268896600 is an abundant number, since it is smaller than the sum of its proper divisors (763202520).

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

268896600 is a wasteful number, since it uses less digits than its factorization.

268896600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21370 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 268896600 is about 16398.0669592486. The cubic root of 268896600 is about 645.4487592732.

It can be divided in two parts, 26889 and 6600, that added together give a square (33489 = 183²).

The spelling of 268896600 in words is "two hundred sixty-eight million, eight hundred ninety-six thousand, six hundred".