26152560 has 120 divisors (see below), whose sum is σ = 100395360. Its totient is φ = 5976576.

The previous prime is 26152549. The next prime is 26152603. The reversal of 26152560 is 6525162.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (836628).

Almost surely, 2^26152560 is an apocalyptic number.

26152560 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 26152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50197680).

26152560 is an abundant number, since it is smaller than the sum of its proper divisors (74242800).

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

26152560 is a wasteful number, since it uses less digits than its factorization.

26152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 26152560 is about 5113.9573717426. The cubic root of 26152560 is about 296.8279110540.

The spelling of 26152560 in words is "twenty-six million, one hundred fifty-two thousand, five hundred sixty".