26281540 has 48 divisors (see below), whose sum is σ = 57743280. Its totient is φ = 10035200.

The previous prime is 26281531. The next prime is 26281553. The reversal of 26281540 is 4518262.

It can be written as a sum of positive squares in 8 ways, for example, as 46656 + 26234884 = 216^2 + 5122^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26281499 and 26281508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65340 + ... + 65740.

It is an arithmetic number, because the mean of its divisors is an integer number (1202985).

Almost surely, 2^26281540 is an apocalyptic number.

26281540 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 26281540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28871640).

26281540 is an abundant number, since it is smaller than the sum of its proper divisors (31461740).

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

26281540 is a wasteful number, since it uses less digits than its factorization.

26281540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 26281540 is about 5126.5524477957. The cubic root of 26281540 is about 297.3150793935.

The spelling of 26281540 in words is "twenty-six million, two hundred eighty-one thousand, five hundred forty".