26758040 has 64 divisors (see below), whose sum is σ = 63106560. Its totient is φ = 10200960.

The previous prime is 26758037. The next prime is 26758049. The reversal of 26758040 is 4085762.

It is a hoax number, since the sum of its digits (32) 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 = 26757988 and 26758006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26758049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80675 + ... + 81005.

It is an arithmetic number, because the mean of its divisors is an integer number (986040).

Almost surely, 2^26758040 is an apocalyptic number.

26758040 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 26758040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31553280).

26758040 is an abundant number, since it is smaller than the sum of its proper divisors (36348520).

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

26758040 is a wasteful number, since it uses less digits than its factorization.

26758040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 26758040 is about 5172.8174141371. The cubic root of 26758040 is about 299.1011615060.

The spelling of 26758040 in words is "twenty-six million, seven hundred fifty-eight thousand, forty".