26678900 has 36 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 10629600.

The previous prime is 26678891. The next prime is 26678909. The reversal of 26678900 is 987662.

It is an interprime number because it is at equal distance from previous prime (26678891) and next prime (26678909).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26678909) 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 11 ways as a sum of consecutive naturals, for example, 42791 + ... + 43409.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^26678900 is an apocalyptic number.

26678900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26678900 is an abundant number, since it is smaller than the sum of its proper divisors (31442380).

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

26678900 is a wasteful number, since it uses less digits than its factorization.

26678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 26678900 is about 5165.1621465352. The cubic root of 26678900 is about 298.8059948846.

The spelling of 26678900 in words is "twenty-six million, six hundred seventy-eight thousand, nine hundred".