25601280 has 144 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 6651904.

The previous prime is 25601207. The next prime is 25601291. The reversal of 25601280 is 8210652.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25601280.

It is a congruent number.

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, 226504 + ... + 226616.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 2^25601280 is an apocalyptic number.

25601280 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 25601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).

25601280 is an abundant number, since it is smaller than the sum of its proper divisors (58284480).

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

25601280 is a wasteful number, since it uses less digits than its factorization.

25601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 25601280 is about 5059.7707457947. The cubic root of 25601280 is about 294.7274318514.

The spelling of 25601280 in words is "twenty-five million, six hundred one thousand, two hundred eighty".