26315520 has 288 divisors, whose sum is σ = 105960960. Its totient is φ = 5406720.

The previous prime is 26315503. The next prime is 26315521. The reversal of 26315520 is 2551362.

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

It is not an unprimeable number, because it can be changed into a prime (26315521) 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, 295636 + ... + 295724.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^26315520 is an apocalyptic number.

26315520 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 26315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

26315520 is an abundant number, since it is smaller than the sum of its proper divisors (79645440).

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

26315520 is a wasteful number, since it uses less digits than its factorization.

26315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

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

The square root of 26315520 is about 5129.8654953127. The cubic root of 26315520 is about 297.4431593499.

Adding to 26315520 its reverse (2551362), we get a palindrome (28866882).

It can be divided in two parts, 263155 and 20, that added together give a triangular number (263175 = T₇₂₅).

The spelling of 26315520 in words is "twenty-six million, three hundred fifteen thousand, five hundred twenty".