25829520 has 80 divisors (see below), whose sum is σ = 80566272. Its totient is φ = 6845440.

The previous prime is 25829519. The next prime is 25829533. The reversal of 25829520 is 2592852.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67249 + ... + 67631.

Almost surely, 2^25829520 is an apocalyptic number.

25829520 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 25829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40283136).

25829520 is an abundant number, since it is smaller than the sum of its proper divisors (54736752).

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

25829520 is a wasteful number, since it uses less digits than its factorization.

25829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 25829520 is about 5082.2750811030. The cubic root of 25829520 is about 295.6006911761.

The spelling of 25829520 in words is "twenty-five million, eight hundred twenty-nine thousand, five hundred twenty".