26791400 has 48 divisors (see below), whose sum is σ = 62977740. Its totient is φ = 10598400.

The previous prime is 26791399. The next prime is 26791417. The reversal of 26791400 is 419762.

It can be written as a sum of positive squares in 6 ways, for example, as 8421604 + 18369796 = 2902^2 + 4286^2 .

It is a super-2 number, since 2×26791400² = 1435558227920000, which contains 22 as substring.

It is an unprimeable number.

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, 18710 + ... + 20090.

Almost surely, 2^26791400 is an apocalyptic number.

26791400 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 26791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31488870).

26791400 is an abundant number, since it is smaller than the sum of its proper divisors (36186340).

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

26791400 is a wasteful number, since it uses less digits than its factorization.

26791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 26791400 is about 5176.0409581069. The cubic root of 26791400 is about 299.2254091588.

The spelling of 26791400 in words is "twenty-six million, seven hundred ninety-one thousand, four hundred".