25048320 has 144 divisors (see below), whose sum is σ = 87417792. Its totient is φ = 6062080.

The previous prime is 25048319. The next prime is 25048339. The reversal of 25048320 is 2384052.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41944 + ... + 42536.

It is an arithmetic number, because the mean of its divisors is an integer number (607068).

Almost surely, 2^25048320 is an apocalyptic number.

25048320 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 25048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43708896).

25048320 is an abundant number, since it is smaller than the sum of its proper divisors (62369472).

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

25048320 is a wasteful number, since it uses less digits than its factorization.

25048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25048320 is about 5004.8296674313. The cubic root of 25048320 is about 292.5900372976.

The spelling of 25048320 in words is "twenty-five million, forty-eight thousand, three hundred twenty".