268862160 has 160 divisors (see below), whose sum is σ = 1002792960. Its totient is φ = 58212864.

The previous prime is 268862119. The next prime is 268862171. The reversal of 268862160 is 61268862.

It is a super-2 number, since 2×268862160² = 144573722159731200, which contains 22 as substring.

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, 27709 + ... + 36131.

It is an arithmetic number, because the mean of its divisors is an integer number (6267456).

Almost surely, 2^268862160 is an apocalyptic number.

268862160 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 268862160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501396480).

268862160 is an abundant number, since it is smaller than the sum of its proper divisors (733930800).

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

268862160 is a wasteful number, since it uses less digits than its factorization.

268862160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 268862160 is about 16397.0168018454. The cubic root of 268862160 is about 645.4212019589.

The spelling of 268862160 in words is "two hundred sixty-eight million, eight hundred sixty-two thousand, one hundred sixty".