26269680 has 80 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 6699264.

The previous prime is 26269669. The next prime is 26269681. The reversal of 26269680 is 8696262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×26269680³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26269681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141 + ... + 7899.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^26269680 is an apocalyptic number.

26269680 is a gapful number since it is divisible by the number (20) 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 26269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

26269680 is an abundant number, since it is smaller than the sum of its proper divisors (58724880).

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

26269680 is a wasteful number, since it uses less digits than its factorization.

26269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 26269680 is about 5125.3955944883. The cubic root of 26269680 is about 297.2703498053.

The spelling of 26269680 in words is "twenty-six million, two hundred sixty-nine thousand, six hundred eighty".