25580632 has 64 divisors (see below), whose sum is σ = 60445440. Its totient is φ = 9859200.

The previous prime is 25580629. The next prime is 25580641. The reversal of 25580632 is 23608552.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25580594 and 25580603.

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, 80538 + ... + 80854.

It is an arithmetic number, because the mean of its divisors is an integer number (944460).

Almost surely, 2^25580632 is an apocalyptic number.

25580632 is a gapful number since it is divisible by the number (22) 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 25580632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30222720).

25580632 is an abundant number, since it is smaller than the sum of its proper divisors (34864808).

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

25580632 is a wasteful number, since it uses less digits than its factorization.

25580632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 25580632 is about 5057.7299255694. The cubic root of 25580632 is about 294.6481758039.

The spelling of 25580632 in words is "twenty-five million, five hundred eighty thousand, six hundred thirty-two".