25233040 has 120 divisors (see below), whose sum is σ = 70354872. Its totient is φ = 8386560.

The previous prime is 25233017. The next prime is 25233041. The reversal of 25233040 is 4033252.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 25120144 = 336^2 + 5012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25232999 and 25233017.

It is not an unprimeable number, because it can be changed into a prime (25233041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 160642 + ... + 160798.

Almost surely, 2^25233040 is an apocalyptic number.

25233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25233040 is the 2512-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35177436).

25233040 is an abundant number, since it is smaller than the sum of its proper divisors (45121832).

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

25233040 is a wasteful number, since it uses less digits than its factorization.

25233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 25233040 is about 5023.2499440104. The cubic root of 25233040 is about 293.3075160933.

Adding to 25233040 its reverse (4033252), we get a palindrome (29266292).

The spelling of 25233040 in words is "twenty-five million, two hundred thirty-three thousand, forty".