26789436 has 72 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 8578080.

The previous prime is 26789429. The next prime is 26789437. The reversal of 26789436 is 63498762.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26789391 and 26789400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26789437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120021 + ... + 120243.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 2^26789436 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 26789436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

26789436 is an abundant number, since it is smaller than the sum of its proper divisors (43657668).

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

26789436 is a wasteful number, since it uses less digits than its factorization.

26789436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 26789436 is about 5175.8512343382. The cubic root of 26789436 is about 299.2180971972.

It can be divided in two parts, 26789 and 436, that added together give a square (27225 = 165²).

The spelling of 26789436 in words is "twenty-six million, seven hundred eighty-nine thousand, four hundred thirty-six".