26565820 has 24 divisors (see below), whose sum is σ = 55901664. Its totient is φ = 10604736.

The previous prime is 26565817. The next prime is 26565821. The reversal of 26565820 is 2856562.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26565821) 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, 11914 + ... + 13966.

It is an arithmetic number, because the mean of its divisors is an integer number (2329236).

Almost surely, 2^26565820 is an apocalyptic number.

26565820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26565820 is an abundant number, since it is smaller than the sum of its proper divisors (29335844).

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

26565820 is a wasteful number, since it uses less digits than its factorization.

26565820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 26565820 is about 5154.2041092685. The cubic root of 26565820 is about 298.3832284105.

It can be divided in two parts, 26565 and 820, that multiplied together give a triangular number (21783300 = T₆₆₀₀).

The spelling of 26565820 in words is "twenty-six million, five hundred sixty-five thousand, eight hundred twenty".