26736540 has 72 divisors (see below), whose sum is σ = 76961808. Its totient is φ = 6935040.

The previous prime is 26736527. The next prime is 26736547. The reversal of 26736540 is 4563762.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26736547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110820 + ... + 111060.

It is an arithmetic number, because the mean of its divisors is an integer number (1068914).

Almost surely, 2^26736540 is an apocalyptic number.

26736540 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 26736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480904).

26736540 is an abundant number, since it is smaller than the sum of its proper divisors (50225268).

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

26736540 is a wasteful number, since it uses less digits than its factorization.

26736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 26736540 is about 5170.7388253518. The cubic root of 26736540 is about 299.0210310967.

The spelling of 26736540 in words is "twenty-six million, seven hundred thirty-six thousand, five hundred forty".