26889760 has 48 divisors (see below), whose sum is σ = 66298176. Its totient is φ = 10286848.

The previous prime is 26889743. The next prime is 26889761. The reversal of 26889760 is 6798862.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 26889760.

It is not an unprimeable number, because it can be changed into a prime (26889761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 7333.

It is an arithmetic number, because the mean of its divisors is an integer number (1381212).

Almost surely, 2^26889760 is an apocalyptic number.

26889760 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 26889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149088).

26889760 is an abundant number, since it is smaller than the sum of its proper divisors (39408416).

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

26889760 is a wasteful number, since it uses less digits than its factorization.

26889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 26889760 is about 5185.5337237357. The cubic root of 26889760 is about 299.5911467536.

The spelling of 26889760 in words is "twenty-six million, eight hundred eighty-nine thousand, seven hundred sixty".