25123280 has 240 divisors, whose sum is σ = 80151120. Its totient is φ = 7225344.

The previous prime is 25123271. The next prime is 25123303. The reversal of 25123280 is 8232152.

It can be written as a sum of positive squares in 8 ways, for example, as 283024 + 24840256 = 532^2 + 4984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866306 + ... + 866334.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 2^25123280 is an apocalyptic number.

25123280 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 25123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

25123280 is an abundant number, since it is smaller than the sum of its proper divisors (55027840).

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

25123280 is a wasteful number, since it uses less digits than its factorization.

25123280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 25123280 is about 5012.3128393986. The cubic root of 25123280 is about 292.8816164924.

The spelling of 25123280 in words is "twenty-five million, one hundred twenty-three thousand, two hundred eighty".