26002560 has 128 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 6680576.

The previous prime is 26002553. The next prime is 26002577. The reversal of 26002560 is 6520062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26002560² = 1352266253107200, which contains 22 as substring.

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, 55447 + ... + 55913.

Almost surely, 2^26002560 is an apocalyptic number.

26002560 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 26002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

26002560 is an abundant number, since it is smaller than the sum of its proper divisors (59922240).

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

26002560 is a wasteful number, since it uses less digits than its factorization.

26002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 26002560 is about 5099.2705360669. The cubic root of 26002560 is about 296.2593295857.

It can be divided in two parts, 26002 and 560, that added together give a palindrome (26562).

The spelling of 26002560 in words is "twenty-six million, two thousand, five hundred sixty".