268768710 has 96 divisors (see below), whose sum is σ = 803380032. Its totient is φ = 61067520.

The previous prime is 268768693. The next prime is 268768711. The reversal of 268768710 is 17867862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268768711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112852 + ... + 115208.

It is an arithmetic number, because the mean of its divisors is an integer number (8368542).

Almost surely, 2^268768710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268768710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401690016).

268768710 is an abundant number, since it is smaller than the sum of its proper divisors (534611322).

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

268768710 is a wasteful number, since it uses less digits than its factorization.

268768710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 268768710 is about 16394.1669504736. The cubic root of 268768710 is about 645.3464156810.

The spelling of 268768710 in words is "two hundred sixty-eight million, seven hundred sixty-eight thousand, seven hundred ten".