26513520 has 160 divisors (see below), whose sum is σ = 91494144. Its totient is φ = 6350080.

The previous prime is 26513519. The next prime is 26513521. The reversal of 26513520 is 2531562.

It is an interprime number because it is at equal distance from previous prime (26513519) and next prime (26513521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26513521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319399 + ... + 319481.

Almost surely, 2^26513520 is an apocalyptic number.

26513520 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 26513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45747072).

26513520 is an abundant number, since it is smaller than the sum of its proper divisors (64980624).

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

26513520 is a wasteful number, since it uses less digits than its factorization.

26513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 26513520 is about 5149.1280815299. The cubic root of 26513520 is about 298.1872912395.

The spelling of 26513520 in words is "twenty-six million, five hundred thirteen thousand, five hundred twenty".