26681820 has 48 divisors (see below), whose sum is σ = 81502848. Its totient is φ = 6468160.

The previous prime is 26681819. The next prime is 26681821. The reversal of 26681820 is 2818662.

It is an interprime number because it is at equal distance from previous prime (26681819) and next prime (26681821).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19554 + ... + 20873.

It is an arithmetic number, because the mean of its divisors is an integer number (1697976).

Almost surely, 2^26681820 is an apocalyptic number.

26681820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26681820 is an abundant number, since it is smaller than the sum of its proper divisors (54821028).

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

26681820 is a wasteful number, since it uses less digits than its factorization.

26681820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40450 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 26681820 is about 5165.4448017572. Note that the first 3 decimals coincide. The cubic root of 26681820 is about 298.8168959047.

The spelling of 26681820 in words is "twenty-six million, six hundred eighty-one thousand, eight hundred twenty".