26228664 has 256 divisors, whose sum is σ = 96768000. Its totient is φ = 6376320.

The previous prime is 26228659. The next prime is 26228677. The reversal of 26228664 is 46682262.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315967 + ... + 316049.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^26228664 is an apocalyptic number.

26228664 is a gapful number since it is divisible by the number (24) 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 26228664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

26228664 is an abundant number, since it is smaller than the sum of its proper divisors (70539336).

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

26228664 is a wasteful number, since it uses less digits than its factorization.

26228664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 26228664 is about 5121.3927793131. The cubic root of 26228664 is about 297.1155554833.

The spelling of 26228664 in words is "twenty-six million, two hundred twenty-eight thousand, six hundred sixty-four".