26813424 has 80 divisors (see below), whose sum is σ = 77387904. Its totient is φ = 7929600.

The previous prime is 26813341. The next prime is 26813441. The reversal of 26813424 is 42431862.

It is a super-3 number, since 3×26813424³ (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26813391 and 26813400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22114 + ... + 23294.

Almost surely, 2^26813424 is an apocalyptic number.

26813424 is a gapful number since it is divisible by the number (24) 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 26813424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38693952).

26813424 is an abundant number, since it is smaller than the sum of its proper divisors (50574480).

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

26813424 is a wasteful number, since it uses less digits than its factorization.

26813424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 26813424 is about 5178.1680158141. The cubic root of 26813424 is about 299.3073799332.

It can be divided in two parts, 2681 and 3424, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 26813424 in words is "twenty-six million, eight hundred thirteen thousand, four hundred twenty-four".