26785040 has 40 divisors (see below), whose sum is σ = 63965400. Its totient is φ = 10423296.

The previous prime is 26785037. The next prime is 26785049. The reversal of 26785040 is 4058762.

It can be written as a sum of positive squares in 4 ways, for example, as 11916304 + 14868736 = 3452^2 + 3856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26784988 and 26785006.

It is not an unprimeable number, because it can be changed into a prime (26785049) 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, 1565 + ... + 7484.

It is an arithmetic number, because the mean of its divisors is an integer number (1599135).

Almost surely, 2^26785040 is an apocalyptic number.

26785040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26785040 is an abundant number, since it is smaller than the sum of its proper divisors (37180360).

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

26785040 is a wasteful number, since it uses less digits than its factorization.

26785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9093 counting only the distinct ones).

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

The square root of 26785040 is about 5175.4265524689. The cubic root of 26785040 is about 299.2017296172.

The spelling of 26785040 in words is "twenty-six million, seven hundred eighty-five thousand, forty".