268376976 has 280 divisors, whose sum is σ = 943302720. Its totient is φ = 72223488.

The previous prime is 268376971. The next prime is 268376993. The reversal of 268376976 is 679673862.

268376976 is a `hidden beast` number, since 268 + 376 + 9 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268376971) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1551226 + ... + 1551398.

Almost surely, 2^268376976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268376976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471651360).

268376976 is an abundant number, since it is smaller than the sum of its proper divisors (674925744).

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

268376976 is a wasteful number, since it uses less digits than its factorization.

268376976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 268376976 is about 16382.2152348210. The cubic root of 268376976 is about 645.0327295452.

The spelling of 268376976 in words is "two hundred sixty-eight million, three hundred seventy-six thousand, nine hundred seventy-six".