268637040 has 320 divisors, whose sum is σ = 1073740800. Its totient is φ = 60466176.

The previous prime is 268637023. The next prime is 268637069. The reversal of 268637040 is 40736862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268636986 and 268637004.

It is a congruent number.

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, 1647999 + ... + 1648161.

It is an arithmetic number, because the mean of its divisors is an integer number (3355440).

Almost surely, 2^268637040 is an apocalyptic number.

268637040 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 268637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870400).

268637040 is an abundant number, since it is smaller than the sum of its proper divisors (805103760).

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

268637040 is a wasteful number, since it uses less digits than its factorization.

268637040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

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

The square root of 268637040 is about 16390.1507009545. The cubic root of 268637040 is about 645.2410132299.

The spelling of 268637040 in words is "two hundred sixty-eight million, six hundred thirty-seven thousand, forty".