268198560 has 384 divisors, whose sum is σ = 1100736000. Its totient is φ = 60963840.

The previous prime is 268198559. The next prime is 268198597. The reversal of 268198560 is 65891862.

268198560 is a `hidden beast` number, since 2 + 6 + 81 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481670 + ... + 1481850.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^268198560 is an apocalyptic number.

268198560 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 268198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

268198560 is an abundant number, since it is smaller than the sum of its proper divisors (832537440).

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

268198560 is a wasteful number, since it uses less digits than its factorization.

268198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 268198560 is about 16376.7689120901. The cubic root of 268198560 is about 644.8897594178.

The spelling of 268198560 in words is "two hundred sixty-eight million, one hundred ninety-eight thousand, five hundred sixty".