268313580 has 48 divisors (see below), whose sum is σ = 834755040. Its totient is φ = 71550144.

The previous prime is 268313579. The next prime is 268313581. The reversal of 268313580 is 85313862.

268313580 is a `hidden beast` number, since 2 + 68 + 3 + 13 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (268313579) and next prime (268313581).

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

It is not an unprimeable number, because it can be changed into a prime (268313581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247899 + ... + 248978.

It is an arithmetic number, because the mean of its divisors is an integer number (17390730).

Almost surely, 2^268313580 is an apocalyptic number.

268313580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268313580 is an abundant number, since it is smaller than the sum of its proper divisors (566441460).

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

268313580 is a wasteful number, since it uses less digits than its factorization.

268313580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496895 (or 496887 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268313580 is about 16380.2802173833. The cubic root of 268313580 is about 644.9819356758.

The spelling of 268313580 in words is "two hundred sixty-eight million, three hundred thirteen thousand, five hundred eighty".