26089920 has 84 divisors (see below), whose sum is σ = 89748360. Its totient is φ = 6956544.

The previous prime is 26089901. The next prime is 26089927. The reversal of 26089920 is 2998062.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26089927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650 + ... + 7409.

Almost surely, 2^26089920 is an apocalyptic number.

26089920 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 26089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44874180).

26089920 is an abundant number, since it is smaller than the sum of its proper divisors (63658440).

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

26089920 is a wasteful number, since it uses less digits than its factorization.

26089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 26089920 is about 5107.8292845396. The cubic root of 26089920 is about 296.5907365049.

The spelling of 26089920 in words is "twenty-six million, eighty-nine thousand, nine hundred twenty".