268327890 has 96 divisors (see below), whose sum is σ = 755104896. Its totient is φ = 68428800.

The previous prime is 268327883. The next prime is 268327897. The reversal of 268327890 is 98723862.

It is an interprime number because it is at equal distance from previous prime (268327883) and next prime (268327897).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268327897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53490 + ... + 58290.

It is an arithmetic number, because the mean of its divisors is an integer number (7865676).

Almost surely, 2^268327890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268327890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377552448).

268327890 is an abundant number, since it is smaller than the sum of its proper divisors (486777006).

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

268327890 is a wasteful number, since it uses less digits than its factorization.

268327890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 268327890 is about 16380.7170172737. The cubic root of 268327890 is about 644.9934017713.

The spelling of 268327890 in words is "two hundred sixty-eight million, three hundred twenty-seven thousand, eight hundred ninety".