268105890 has 64 divisors (see below), whose sum is σ = 698535936. Its totient is φ = 65463552.

The previous prime is 268105879. The next prime is 268105897. The reversal of 268105890 is 98501862.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (268105897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46824 + ... + 52236.

It is an arithmetic number, because the mean of its divisors is an integer number (10914624).

Almost surely, 2^268105890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268105890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349267968).

268105890 is an abundant number, since it is smaller than the sum of its proper divisors (430430046).

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

268105890 is a wasteful number, since it uses less digits than its factorization.

268105890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 268105890 is about 16373.9393549628. The cubic root of 268105890 is about 644.8154751282.

The spelling of 268105890 in words is "two hundred sixty-eight million, one hundred five thousand, eight hundred ninety".