26066040 has 384 divisors, whose sum is σ = 110315520. Its totient is φ = 4838400.

The previous prime is 26066039. The next prime is 26066069. The reversal of 26066040 is 4066062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26066040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840825 + ... + 840855.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^26066040 is an apocalyptic number.

26066040 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 26066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

26066040 is an abundant number, since it is smaller than the sum of its proper divisors (84249480).

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

26066040 is a wasteful number, since it uses less digits than its factorization.

26066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 26066040 is about 5105.4911614849. The cubic root of 26066040 is about 296.5002194421.

It can be divided in two parts, 2606 and 6040, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 26066040 in words is "twenty-six million, sixty-six thousand, forty".