268386096 has 160 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 74476800.

The previous prime is 268386073. The next prime is 268386137. The reversal of 268386096 is 690683862.

It is a super-2 number, since 2×268386096² = 144062193052242432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310561 + ... + 311423.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^268386096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268386096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

268386096 is an abundant number, since it is smaller than the sum of its proper divisors (554418384).

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

268386096 is a wasteful number, since it uses less digits than its factorization.

268386096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 268386096 is about 16382.4935830905. The cubic root of 268386096 is about 645.0400359741.

The spelling of 268386096 in words is "two hundred sixty-eight million, three hundred eighty-six thousand, ninety-six".