268390560 has 192 divisors, whose sum is σ = 924908544. Its totient is φ = 65126400.

The previous prime is 268390553. The next prime is 268390567. The reversal of 268390560 is 65093862.

It is an interprime number because it is at equal distance from previous prime (268390553) and next prime (268390567).

It is a super-2 number, since 2×268390560² = 144066985394227200, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (268390567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252430 + ... + 253490.

It is an arithmetic number, because the mean of its divisors is an integer number (4817232).

Almost surely, 2^268390560 is an apocalyptic number.

268390560 is a gapful number since it is divisible by the number (20) 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 268390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462454272).

268390560 is an abundant number, since it is smaller than the sum of its proper divisors (656517984).

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

268390560 is a wasteful number, since it uses less digits than its factorization.

268390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 268390560 is about 16382.6298255195. The cubic root of 268390560 is about 645.0436122184.

The spelling of 268390560 in words is "two hundred sixty-eight million, three hundred ninety thousand, five hundred sixty".