25288560 has 240 divisors, whose sum is σ = 96565248. Its totient is φ = 5875200.

The previous prime is 25288559. The next prime is 25288573. The reversal of 25288560 is 6588252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25288560² = 1279022533747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245469 + ... + 245571.

Almost surely, 2^25288560 is an apocalyptic number.

25288560 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 25288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282624).

25288560 is an abundant number, since it is smaller than the sum of its proper divisors (71276688).

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

25288560 is a wasteful number, since it uses less digits than its factorization.

25288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 25288560 is about 5028.7732102373. The cubic root of 25288560 is about 293.5224790199.

The spelling of 25288560 in words is "twenty-five million, two hundred eighty-eight thousand, five hundred sixty".