25270560 has 288 divisors, whose sum is σ = 103783680. Its totient is φ = 5474304.

The previous prime is 25270547. The next prime is 25270579. The reversal of 25270560 is 6507252.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231786 + ... + 231894.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^25270560 is an apocalyptic number.

25270560 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 25270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

25270560 is an abundant number, since it is smaller than the sum of its proper divisors (78513120).

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

25270560 is a wasteful number, since it uses less digits than its factorization.

25270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 25270560 is about 5026.9831907417. The cubic root of 25270560 is about 293.4528209260.

The spelling of 25270560 in words is "twenty-five million, two hundred seventy thousand, five hundred sixty".