268104960 has 324 divisors, whose sum is σ = 1009443708. Its totient is φ = 65470464.

The previous prime is 268104937. The next prime is 268105003. The reversal of 268104960 is 69401862.

It can be written as a sum of positive squares in 6 ways, for example, as 68956416 + 199148544 = 8304^2 + 14112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7246062 + ... + 7246098.

It is an arithmetic number, because the mean of its divisors is an integer number (3115567).

Almost surely, 2^268104960 is an apocalyptic number.

268104960 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 268104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504721854).

268104960 is an abundant number, since it is smaller than the sum of its proper divisors (741338748).

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

268104960 is a wasteful number, since it uses less digits than its factorization.

268104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268104960 is about 16373.9109561522. The cubic root of 268104960 is about 644.8147295533.

The spelling of 268104960 in words is "two hundred sixty-eight million, one hundred four thousand, nine hundred sixty".