268094736 has 240 divisors, whose sum is σ = 947856000. Its totient is φ = 68843520.

The previous prime is 268094713. The next prime is 268094737. The reversal of 268094736 is 637490862.

It is a junction number, because it is equal to n+sod(n) for n = 268094691 and 268094700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268094737) 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, 537015 + ... + 537513.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^268094736 is an apocalyptic number.

268094736 is a gapful number since it is divisible by the number (26) 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 268094736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928000).

268094736 is an abundant number, since it is smaller than the sum of its proper divisors (679761264).

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

268094736 is a wasteful number, since it uses less digits than its factorization.

268094736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 268094736 is about 16373.5987492060. The cubic root of 268094736 is about 644.8065329256.

The spelling of 268094736 in words is "two hundred sixty-eight million, ninety-four thousand, seven hundred thirty-six".