26382820 has 24 divisors (see below), whose sum is σ = 55500984. Its totient is φ = 10534656.

The previous prime is 26382799. The next prime is 26382821. The reversal of 26382820 is 2828362.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 15413476 = 3312^2 + 3926^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (26382821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20022 + ... + 21298.

It is an arithmetic number, because the mean of its divisors is an integer number (2312541).

Almost surely, 2^26382820 is an apocalyptic number.

26382820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26382820 is an abundant number, since it is smaller than the sum of its proper divisors (29118164).

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

26382820 is a wasteful number, since it uses less digits than its factorization.

26382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 26382820 is about 5136.4209329065. The cubic root of 26382820 is about 297.6965064754.

The spelling of 26382820 in words is "twenty-six million, three hundred eighty-two thousand, eight hundred twenty".