268107840 has 896 divisors, whose sum is σ = 1310883840. Its totient is φ = 49766400.

The previous prime is 268107839. The next prime is 268107863. The reversal of 268107840 is 48701862.

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 = 268107795 and 268107804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648625 + ... + 8648655.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^268107840 is an apocalyptic number.

268107840 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 268107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

268107840 is an abundant number, since it is smaller than the sum of its proper divisors (1042776000).

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

268107840 is a wasteful number, since it uses less digits than its factorization.

268107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 268107840 is about 16373.9989006962. The cubic root of 268107840 is about 644.8170384249.

Adding to 268107840 its sum of digits (36), we get a square (268107876 = 16374²).

The spelling of 268107840 in words is "two hundred sixty-eight million, one hundred seven thousand, eight hundred forty".