26850880 has 56 divisors (see below), whose sum is σ = 73078848. Its totient is φ = 9205248.

The previous prime is 26850847. The next prime is 26850881. The reversal of 26850880 is 8805862.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (26850881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3754 + ... + 8233.

Almost surely, 2^26850880 is an apocalyptic number.

26850880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26850880 is an abundant number, since it is smaller than the sum of its proper divisors (46227968).

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

26850880 is a wasteful number, since it uses less digits than its factorization.

26850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 26850880 is about 5181.7834767578. The cubic root of 26850880 is about 299.4466838017.

It can be divided in two parts, 26850 and 880, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 26850880 in words is "twenty-six million, eight hundred fifty thousand, eight hundred eighty".