25633032 has 64 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 8174400.

The previous prime is 25633021. The next prime is 25633037. The reversal of 25633032 is 23033652.

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

It is a junction number, because it is equal to n+sod(n) for n = 25632993 and 25633011.

It is not an unprimeable number, because it can be changed into a prime (25633037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97333 + ... + 97595.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 2^25633032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25633032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454080).

25633032 is an abundant number, since it is smaller than the sum of its proper divisors (41275128).

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

25633032 is a wasteful number, since it uses less digits than its factorization.

25633032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 25633032 is about 5062.9074650837. The cubic root of 25633032 is about 294.8492267935.

Adding to 25633032 its reverse (23033652), we get a palindrome (48666684).

The spelling of 25633032 in words is "twenty-five million, six hundred thirty-three thousand, thirty-two".