268311840 has 96 divisors (see below), whose sum is σ = 857195136. Its totient is φ = 70533120.

The previous prime is 268311821. The next prime is 268311847. The reversal of 268311840 is 48113862.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (268311847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30144 + ... + 38016.

It is an arithmetic number, because the mean of its divisors is an integer number (8929116).

Almost surely, 2^268311840 is an apocalyptic number.

268311840 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 268311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428597568).

268311840 is an abundant number, since it is smaller than the sum of its proper divisors (588883296).

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

268311840 is a wasteful number, since it uses less digits than its factorization.

268311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 268311840 is about 16380.2271046527. The cubic root of 268311840 is about 644.9805414477.

The spelling of 268311840 in words is "two hundred sixty-eight million, three hundred eleven thousand, eight hundred forty".