26822820 has 48 divisors (see below), whose sum is σ = 75962880. Its totient is φ = 7070976.

The previous prime is 26822779. The next prime is 26822827. The reversal of 26822820 is 2822862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26822827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2829 + ... + 7851.

It is an arithmetic number, because the mean of its divisors is an integer number (1582560).

Almost surely, 2^26822820 is an apocalyptic number.

26822820 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 26822820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37981440).

26822820 is an abundant number, since it is smaller than the sum of its proper divisors (49140060).

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

26822820 is a wasteful number, since it uses less digits than its factorization.

26822820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 26822820 is about 5179.0752070230. The cubic root of 26822820 is about 299.3423370963.

The spelling of 26822820 in words is "twenty-six million, eight hundred twenty-two thousand, eight hundred twenty".