26713440 has 144 divisors (see below), whose sum is σ = 98240688. Its totient is φ = 6571008.

The previous prime is 26713429. The next prime is 26713441. The reversal of 26713440 is 4431762.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26713441) 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 23 ways as a sum of consecutive naturals, for example, 18007 + ... + 19433.

It is an arithmetic number, because the mean of its divisors is an integer number (682227).

Almost surely, 2^26713440 is an apocalyptic number.

26713440 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 26713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120344).

26713440 is an abundant number, since it is smaller than the sum of its proper divisors (71527248).

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

26713440 is a wasteful number, since it uses less digits than its factorization.

26713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1450 counting only the distinct ones).

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

The square root of 26713440 is about 5168.5046193266. The cubic root of 26713440 is about 298.9348896081.

The spelling of 26713440 in words is "twenty-six million, seven hundred thirteen thousand, four hundred forty".