268233160 has 64 divisors (see below), whose sum is σ = 659736000. Its totient is φ = 97549056.

The previous prime is 268233143. The next prime is 268233167. The reversal of 268233160 is 61332862.

268233160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268233167) 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, 30991 + ... + 38689.

It is an arithmetic number, because the mean of its divisors is an integer number (10308375).

Almost surely, 2^268233160 is an apocalyptic number.

268233160 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 268233160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329868000).

268233160 is an abundant number, since it is smaller than the sum of its proper divisors (391502840).

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

268233160 is a wasteful number, since it uses less digits than its factorization.

268233160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 268233160 is about 16377.8252524564. The cubic root of 268233160 is about 644.9174903971.

The spelling of 268233160 in words is "two hundred sixty-eight million, two hundred thirty-three thousand, one hundred sixty".