26580040 has 32 divisors (see below), whose sum is σ = 59962680. Its totient is φ = 10604032.

The previous prime is 26580017. The next prime is 26580041. The reversal of 26580040 is 4008562.

26580040 = 206² + 207² + ... + 445².

It can be written as a sum of positive squares in 4 ways, for example, as 15570916 + 11009124 = 3946^2 + 3318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26579987 and 26580014.

It is not an unprimeable number, because it can be changed into a prime (26580041) 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, 21684 + ... + 22876.

Almost surely, 2^26580040 is an apocalyptic number.

26580040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26580040 is an abundant number, since it is smaller than the sum of its proper divisors (33382640).

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

26580040 is a wasteful number, since it uses less digits than its factorization.

26580040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 26580040 is about 5155.5833811510. The cubic root of 26580040 is about 298.4364578694.

The spelling of 26580040 in words is "twenty-six million, five hundred eighty thousand, forty".