26578240 has 56 divisors (see below), whose sum is σ = 68168520. Its totient is φ = 9811968.

The previous prime is 26578219. The next prime is 26578243. The reversal of 26578240 is 4287562.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 25080064 = 1224^2 + 5008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26578196 and 26578205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26578243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (1217295).

Almost surely, 2^26578240 is an apocalyptic number.

26578240 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 26578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084260).

26578240 is an abundant number, since it is smaller than the sum of its proper divisors (41590280).

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

26578240 is a wasteful number, since it uses less digits than its factorization.

26578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 26578240 is about 5155.4088101721. The cubic root of 26578240 is about 298.4297210128.

The spelling of 26578240 in words is "twenty-six million, five hundred seventy-eight thousand, two hundred forty".