268201140 has 96 divisors (see below), whose sum is σ = 770617344. Its totient is φ = 69672960.

The previous prime is 268201139. The next prime is 268201159. The reversal of 268201140 is 41102862.

It is a self number, because there is not a number n which added to its sum of digits gives 268201140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464532 + ... + 465108.

It is an arithmetic number, because the mean of its divisors is an integer number (8027264).

Almost surely, 2^268201140 is an apocalyptic number.

268201140 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 268201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385308672).

268201140 is an abundant number, since it is smaller than the sum of its proper divisors (502416204).

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

268201140 is a wasteful number, since it uses less digits than its factorization.

268201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 268201140 is about 16376.8476820174. The cubic root of 268201140 is about 644.8918273014.

The spelling of 268201140 in words is "two hundred sixty-eight million, two hundred one thousand, one hundred forty".