268073280 has 448 divisors, whose sum is σ = 1053388800. Its totient is φ = 63866880.

The previous prime is 268073263. The next prime is 268073287. The reversal of 268073280 is 82370862.

It is a happy number.

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 (268073287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775645 + ... + 3775715.

Almost surely, 2^268073280 is an apocalyptic number.

268073280 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 268073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

268073280 is an abundant number, since it is smaller than the sum of its proper divisors (785315520).

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

268073280 is a wasteful number, since it uses less digits than its factorization.

268073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268073280 is about 16372.9435349909. The cubic root of 268073280 is about 644.7893308745.

The spelling of 268073280 in words is "two hundred sixty-eight million, seventy-three thousand, two hundred eighty".