268794330 has 256 divisors, whose sum is σ = 846028800. Its totient is φ = 53222400.

The previous prime is 268794287. The next prime is 268794371. The reversal of 268794330 is 33497862.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2661280 + ... + 2661380.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^268794330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268794330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

268794330 is an abundant number, since it is smaller than the sum of its proper divisors (577234470).

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

268794330 is a wasteful number, since it uses less digits than its factorization.

268794330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 268794330 is about 16394.9483073293. The cubic root of 268794330 is about 645.3669206098.

The spelling of 268794330 in words is "two hundred sixty-eight million, seven hundred ninety-four thousand, three hundred thirty".