268047360 has 352 divisors, whose sum is σ = 1092606720. Its totient is φ = 61046784.

The previous prime is 268047349. The next prime is 268047361. The reversal of 268047360 is 63740862.

268047360 = 129³ + 130³ + ... + 191³.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268047361) 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, 967542 + ... + 967818.

Almost surely, 2^268047360 is an apocalyptic number.

268047360 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 268047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546303360).

268047360 is an abundant number, since it is smaller than the sum of its proper divisors (824559360).

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

268047360 is a wasteful number, since it uses less digits than its factorization.

268047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 268047360 is about 16372.1519660673. The cubic root of 268047360 is about 644.7685486489.

The spelling of 268047360 in words is "two hundred sixty-eight million, forty-seven thousand, three hundred sixty".