26879400 has 144 divisors (see below), whose sum is σ = 91763100. Its totient is φ = 7050240.

The previous prime is 26879383. The next prime is 26879401. The reversal of 26879400 is 497862.

It can be written as a sum of positive squares in 6 ways, for example, as 13527684 + 13351716 = 3678^2 + 3654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26879401) 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 35 ways as a sum of consecutive naturals, for example, 196132 + ... + 196268.

Almost surely, 2^26879400 is an apocalyptic number.

26879400 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 26879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45881550).

26879400 is an abundant number, since it is smaller than the sum of its proper divisors (64883700).

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

26879400 is a wasteful number, since it uses less digits than its factorization.

26879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26879400 is about 5184.5346946471. The cubic root of 26879400 is about 299.5526666411.

The spelling of 26879400 in words is "twenty-six million, eight hundred seventy-nine thousand, four hundred".