268133760 has 256 divisors, whose sum is σ = 969408000. Its totient is φ = 70023168.

The previous prime is 268133759. The next prime is 268133773. The reversal of 268133760 is 67331862.

It is a happy number.

268133760 is a `hidden beast` number, since 268 + 1 + 337 + 60 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019389 + ... + 1019651.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2^268133760 is an apocalyptic number.

268133760 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 268133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484704000).

268133760 is an abundant number, since it is smaller than the sum of its proper divisors (701274240).

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

268133760 is a wasteful number, since it uses less digits than its factorization.

268133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 268133760 is about 16374.7903803377. The cubic root of 268133760 is about 644.8378175251.

The spelling of 268133760 in words is "two hundred sixty-eight million, one hundred thirty-three thousand, seven hundred sixty".