26665968 has 80 divisors (see below), whose sum is σ = 82891520. Its totient is φ = 7216128.

The previous prime is 26665963. The next prime is 26665981. The reversal of 26665968 is 86956662.

It is a super-2 number, since 2×26665968² = 1422147698754048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26665963) 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, 4296 + ... + 8472.

It is an arithmetic number, because the mean of its divisors is an integer number (1036144).

Almost surely, 2^26665968 is an apocalyptic number.

26665968 is a gapful number since it is divisible by the number (28) 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 26665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41445760).

26665968 is an abundant number, since it is smaller than the sum of its proper divisors (56225552).

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

26665968 is a wasteful number, since it uses less digits than its factorization.

26665968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4208 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 26665968 is about 5163.9101463910. The cubic root of 26665968 is about 298.7577072409.

The spelling of 26665968 in words is "twenty-six million, six hundred sixty-five thousand, nine hundred sixty-eight".