26365440 has 80 divisors (see below), whose sum is σ = 84311568. Its totient is φ = 7028736.

The previous prime is 26365421. The next prime is 26365463. The reversal of 26365440 is 4456362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26365398 and 26365407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5964 + ... + 9396.

Almost surely, 2^26365440 is an apocalyptic number.

26365440 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 26365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155784).

26365440 is an abundant number, since it is smaller than the sum of its proper divisors (57946128).

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

26365440 is an equidigital number, since it uses as much as digits as its factorization.

26365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 26365440 is about 5134.7288146503. The cubic root of 26365440 is about 297.6311217309.

It can be divided in two parts, 263 and 65440, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 26365440 in words is "twenty-six million, three hundred sixty-five thousand, four hundred forty".