26120520 has 144 divisors (see below), whose sum is σ = 88894260. Its totient is φ = 6649344.

The previous prime is 26120513. The next prime is 26120527. The reversal of 26120520 is 2502162.

26120520 is a `hidden beast` number, since 2 + 612 + 0 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26120513) and next prime (26120527).

It can be written as a sum of positive squares in 6 ways, for example, as 24029604 + 2090916 = 4902^2 + 1446^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 26120493 and 26120502.

It is not an unprimeable number, because it can be changed into a prime (26120527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 492814 + ... + 492866.

Almost surely, 2^26120520 is an apocalyptic number.

26120520 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 26120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447130).

26120520 is an abundant number, since it is smaller than the sum of its proper divisors (62773740).

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

26120520 is a wasteful number, since it uses less digits than its factorization.

26120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 100 counting only the distinct ones).

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

The square root of 26120520 is about 5110.8238083503. The cubic root of 26120520 is about 296.7066450072.

Adding to 26120520 its reverse (2502162), we get a palindrome (28622682).

The spelling of 26120520 in words is "twenty-six million, one hundred twenty thousand, five hundred twenty".