26133520 has 80 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 8566272.

The previous prime is 26133511. The next prime is 26133533. The reversal of 26133520 is 2533162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 26133491 and 26133500.

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, 11866 + ... + 13894.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 2^26133520 is an apocalyptic number.

26133520 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 26133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

26133520 is an abundant number, since it is smaller than the sum of its proper divisors (46361840).

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

26133520 is a wasteful number, since it uses less digits than its factorization.

26133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 26133520 is about 5112.0954607675. The cubic root of 26133520 is about 296.7558597837.

Adding to 26133520 its reverse (2533162), we get a palindrome (28666682).

The spelling of 26133520 in words is "twenty-six million, one hundred thirty-three thousand, five hundred twenty".