25906580 has 48 divisors (see below), whose sum is σ = 62541696. Its totient is φ = 8830080.

The previous prime is 25906561. The next prime is 25906591. The reversal of 25906580 is 8560952.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 25906580.

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, 29102 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (1302952).

Almost surely, 2^25906580 is an apocalyptic number.

25906580 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 25906580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31270848).

25906580 is an abundant number, since it is smaller than the sum of its proper divisors (36635116).

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

25906580 is a wasteful number, since it uses less digits than its factorization.

25906580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 25906580 is about 5089.8506854327. The cubic root of 25906580 is about 295.8943651549.

The spelling of 25906580 in words is "twenty-five million, nine hundred six thousand, five hundred eighty".