26400672 has 108 divisors (see below), whose sum is σ = 78468390. Its totient is φ = 8418816.

The previous prime is 26400659. The next prime is 26400691. The reversal of 26400672 is 27600462.

It can be written as a sum of positive squares in 3 ways, for example, as 24561936 + 1838736 = 4956^2 + 1356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242154 + ... + 242262.

Almost surely, 2^26400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39234195).

26400672 is an abundant number, since it is smaller than the sum of its proper divisors (52067718).

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

26400672 is a wasteful number, since it uses less digits than its factorization.

26400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26400672 is about 5138.1584249612. The cubic root of 26400672 is about 297.7636370272.

It can be divided in two parts, 26400 and 672, that added together give a palindrome (27072).

The spelling of 26400672 in words is "twenty-six million, four hundred thousand, six hundred seventy-two".