268551360 has 504 divisors, whose sum is σ = 1178972496. Its totient is φ = 55480320.

The previous prime is 268551347. The next prime is 268551389. The reversal of 268551360 is 63155862.

268551360 is a `hidden beast` number, since 2 + 6 + 85 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552234 + ... + 1552406.

Almost surely, 2^268551360 is an apocalyptic number.

268551360 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 268551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589486248).

268551360 is an abundant number, since it is smaller than the sum of its proper divisors (910421136).

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

268551360 is a wasteful number, since it uses less digits than its factorization.

268551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 268551360 is about 16387.5367276476. The cubic root of 268551360 is about 645.1724074902.

It can be divided in two parts, 2685 and 51360, that added together give a palindrome (54045).

The spelling of 268551360 in words is "two hundred sixty-eight million, five hundred fifty-one thousand, three hundred sixty".