268680240 has 280 divisors, whose sum is σ = 995347008. Its totient is φ = 67184640.

The previous prime is 268680239. The next prime is 268680263. The reversal of 268680240 is 42086862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268680195 and 268680204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991305 + ... + 991575.

Almost surely, 2^268680240 is an apocalyptic number.

268680240 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 268680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497673504).

268680240 is an abundant number, since it is smaller than the sum of its proper divisors (726666768).

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

268680240 is a wasteful number, since it uses less digits than its factorization.

268680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268680240 is about 16391.4685126135. The cubic root of 268680240 is about 645.2755988276.

The spelling of 268680240 in words is "two hundred sixty-eight million, six hundred eighty thousand, two hundred forty".