26506040 has 64 divisors (see below), whose sum is σ = 65784960. Its totient is φ = 9531520.

The previous prime is 26506037. The next prime is 26506093. The reversal of 26506040 is 4060562.

It is a junction number, because it is equal to n+sod(n) for n = 26505997 and 26506015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46799 + ... + 47361.

It is an arithmetic number, because the mean of its divisors is an integer number (1027890).

Almost surely, 2^26506040 is an apocalyptic number.

26506040 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 26506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32892480).

26506040 is an abundant number, since it is smaller than the sum of its proper divisors (39278920).

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

26506040 is a wasteful number, since it uses less digits than its factorization.

26506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

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

The square root of 26506040 is about 5148.4016937298. The cubic root of 26506040 is about 298.1592470477.

The spelling of 26506040 in words is "twenty-six million, five hundred six thousand, forty".