26112768 has 108 divisors (see below), whose sum is σ = 76662264. Its totient is φ = 7884800.

The previous prime is 26112767. The next prime is 26112769. The reversal of 26112768 is 86721162.

It is an interprime number because it is at equal distance from previous prime (26112767) and next prime (26112769).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (26112761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92788 + ... + 93068.

Almost surely, 2^26112768 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 26112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38331132).

26112768 is an abundant number, since it is smaller than the sum of its proper divisors (50549496).

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

26112768 is a wasteful number, since it uses less digits than its factorization.

26112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 26112768 is about 5110.0653616172. The cubic root of 26112768 is about 296.6772900851.

The spelling of 26112768 in words is "twenty-six million, one hundred twelve thousand, seven hundred sixty-eight".