26560040 has 48 divisors (see below), whose sum is σ = 64727100. Its totient is φ = 9804288.

The previous prime is 26560007. The next prime is 26560057. The reversal of 26560040 is 4006562.

It can be written as a sum of positive squares in 6 ways, for example, as 407044 + 26152996 = 638^2 + 5114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26559988 and 26560015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4796 + ... + 8724.

Almost surely, 2^26560040 is an apocalyptic number.

26560040 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 26560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363550).

26560040 is an abundant number, since it is smaller than the sum of its proper divisors (38167060).

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

26560040 is a wasteful number, since it uses less digits than its factorization.

26560040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 26560040 is about 5153.6433714412. The cubic root of 26560040 is about 298.3615868154.

The spelling of 26560040 in words is "twenty-six million, five hundred sixty thousand, forty".