26905968 has 120 divisors (see below), whose sum is σ = 82695600. Its totient is φ = 8128512.

The previous prime is 26905961. The next prime is 26905999. The reversal of 26905968 is 86950962.

It is a super-2 number, since 2×26905968² = 1447862228034048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26905961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70803 + ... + 71181.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 2^26905968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26905968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41347800).

26905968 is an abundant number, since it is smaller than the sum of its proper divisors (55789632).

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

26905968 is a wasteful number, since it uses less digits than its factorization.

26905968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 26905968 is about 5187.0962975445. The cubic root of 26905968 is about 299.6513282504.

The spelling of 26905968 in words is "twenty-six million, nine hundred five thousand, nine hundred sixty-eight".