25633280 has 160 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 8847360.

The previous prime is 25633273. The next prime is 25633313. The reversal of 25633280 is 8233652.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 826865 + ... + 826895.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^25633280 is an apocalyptic number.

25633280 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 25633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

25633280 is an abundant number, since it is smaller than the sum of its proper divisors (45076480).

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

25633280 is a wasteful number, since it uses less digits than its factorization.

25633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 25633280 is about 5062.9319568803. The cubic root of 25633280 is about 294.8501776808.

The spelling of 25633280 in words is "twenty-five million, six hundred thirty-three thousand, two hundred eighty".