26738240 has 28 divisors (see below), whose sum is σ = 63671196. Its totient is φ = 10695168.

The previous prime is 26738233. The next prime is 26738249. The reversal of 26738240 is 4283762.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 5798464 = 4576^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26738197 and 26738206.

It is not an unprimeable number, because it can be changed into a prime (26738249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41459 + ... + 42098.

Almost surely, 2^26738240 is an apocalyptic number.

26738240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26738240 is an abundant number, since it is smaller than the sum of its proper divisors (36932956).

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

26738240 is an equidigital number, since it uses as much as digits as its factorization.

26738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83574 (or 83564 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 26738240 is about 5170.9032093049. The cubic root of 26738240 is about 299.0273685533.

The spelling of 26738240 in words is "twenty-six million, seven hundred thirty-eight thousand, two hundred forty".