26288820 has 96 divisors (see below), whose sum is σ = 82857600. Its totient is φ = 6918912.

The previous prime is 26288791. The next prime is 26288861. The reversal of 26288820 is 2888262.

26288820 is a `hidden beast` number, since 2 + 628 + 8 + 8 + 20 = 666.

It is a super-2 number, since 2×26288820² = 1382204113984800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47787 + ... + 48333.

It is an arithmetic number, because the mean of its divisors is an integer number (863100).

Almost surely, 2^26288820 is an apocalyptic number.

26288820 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 26288820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41428800).

26288820 is an abundant number, since it is smaller than the sum of its proper divisors (56568780).

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

26288820 is a wasteful number, since it uses less digits than its factorization.

26288820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 26288820 is about 5127.2624274558. The cubic root of 26288820 is about 297.3425290021.

The spelling of 26288820 in words is "twenty-six million, two hundred eighty-eight thousand, eight hundred twenty".