26742880 has 72 divisors (see below), whose sum is σ = 66824352. Its totient is φ = 10112256.

The previous prime is 26742869. The next prime is 26742929. The reversal of 26742880 is 8824762.

26742880 = T₈₁ + T₈₂ + ... + T₅₄₃.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57529 + ... + 57991.

It is an arithmetic number, because the mean of its divisors is an integer number (928116).

Almost surely, 2^26742880 is an apocalyptic number.

26742880 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 26742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412176).

26742880 is an abundant number, since it is smaller than the sum of its proper divisors (40081472).

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

26742880 is a wasteful number, since it uses less digits than its factorization.

26742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 26742880 is about 5171.3518542060. The cubic root of 26742880 is about 299.0446647146.

The spelling of 26742880 in words is "twenty-six million, seven hundred forty-two thousand, eight hundred eighty".