268406754 has 96 divisors (see below), whose sum is σ = 686416896. Its totient is φ = 67973280.

The previous prime is 268406737. The next prime is 268406759. The reversal of 268406754 is 457604862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268406759) 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, 1020427 + ... + 1020689.

It is an arithmetic number, because the mean of its divisors is an integer number (7150176).

Almost surely, 2^268406754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268406754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343208448).

268406754 is an abundant number, since it is smaller than the sum of its proper divisors (418010142).

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

268406754 is a wasteful number, since it uses less digits than its factorization.

268406754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 268406754 is about 16383.1240610575. The cubic root of 268406754 is about 645.0565853848.

The spelling of 268406754 in words is "two hundred sixty-eight million, four hundred six thousand, seven hundred fifty-four".