26542080 has 170 divisors, whose sum is σ = 95157546. Its totient is φ = 7077888.

The previous prime is 26542067. The next prime is 26542091. The reversal of 26542080 is 8024562.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (2!)⁶.

26542080 is a `hidden beast` number, since 2 + 654 + 2 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 5308416 = 4608^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308414 + ... + 5308418.

Almost surely, 2^26542080 is an apocalyptic number.

26542080 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 26542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47578773).

26542080 is an abundant number, since it is smaller than the sum of its proper divisors (68615466).

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

26542080 is an frugal number, since it uses more digits than its factorization.

26542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26542080 is about 5151.9006201595. The cubic root of 26542080 is about 298.2943205716.

The spelling of 26542080 in words is "twenty-six million, five hundred forty-two thousand, eighty".