26986080 has 192 divisors, whose sum is σ = 97977600. Its totient is φ = 6174720.

The previous prime is 26986049. The next prime is 26986087. The reversal of 26986080 is 8068962.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26986087) 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, 100186 + ... + 100454.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^26986080 is an apocalyptic number.

26986080 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 26986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

26986080 is an abundant number, since it is smaller than the sum of its proper divisors (70991520).

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

26986080 is a wasteful number, since it uses less digits than its factorization.

26986080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 26986080 is about 5194.8127973970. The cubic root of 26986080 is about 299.9484355820.

It can be divided in two parts, 2698 and 6080, that added together give a palindrome (8778).

The spelling of 26986080 in words is "twenty-six million, nine hundred eighty-six thousand, eighty".