26105040 has 120 divisors (see below), whose sum is σ = 94447080. Its totient is φ = 6423552.

The previous prime is 26105039. The next prime is 26105059. The reversal of 26105040 is 4050162.

It is a happy number.

26105040 is a `hidden beast` number, since 2 + 610 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 25160256 = 972^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×26105040² = 1362946226803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7966 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (787059).

Almost surely, 2^26105040 is an apocalyptic number.

26105040 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 26105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

26105040 is an abundant number, since it is smaller than the sum of its proper divisors (68342040).

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

26105040 is a wasteful number, since it uses less digits than its factorization.

26105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 26105040 is about 5109.3091509518. The cubic root of 26105040 is about 296.6480202619.

The spelling of 26105040 in words is "twenty-six million, one hundred five thousand, forty".