25033968 has 80 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 8270784.

The previous prime is 25033951. The next prime is 25033997. The reversal of 25033968 is 86933052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71971 + ... + 72317.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 2^25033968 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 25033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

25033968 is an abundant number, since it is smaller than the sum of its proper divisors (47461392).

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

25033968 is a wasteful number, since it uses less digits than its factorization.

25033968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 25033968 is about 5003.3956469582. The cubic root of 25033968 is about 292.5341446005.

The spelling of 25033968 in words is "twenty-five million, thirty-three thousand, nine hundred sixty-eight".