268500960 has 384 divisors, whose sum is σ = 1158312960. Its totient is φ = 56567808.

The previous prime is 268500943. The next prime is 268500961. The reversal of 268500960 is 69005862.

268500960 is a `hidden beast` number, since 2 + 68 + 500 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268500961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392779 + ... + 393461.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^268500960 is an apocalyptic number.

268500960 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 268500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

268500960 is an abundant number, since it is smaller than the sum of its proper divisors (889812000).

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

268500960 is a wasteful number, since it uses less digits than its factorization.

268500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 268500960 is about 16385.9989015012. The cubic root of 268500960 is about 645.1320443560.

Adding to 268500960 its sum of digits (36), we get a square (268500996 = 16386²).

The spelling of 268500960 in words is "two hundred sixty-eight million, five hundred thousand, nine hundred sixty".