25496640 has 224 divisors, whose sum is σ = 97292160. Its totient is φ = 6248448.

The previous prime is 25496633. The next prime is 25496729. The reversal of 25496640 is 4669452.

25496640 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25496595 and 25496604.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112207 + ... + 112433.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 2^25496640 is an apocalyptic number.

25496640 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 25496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

25496640 is an abundant number, since it is smaller than the sum of its proper divisors (71795520).

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

25496640 is a wasteful number, since it uses less digits than its factorization.

25496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 25496640 is about 5049.4197686467. The cubic root of 25496640 is about 294.3253374780.

The spelling of 25496640 in words is "twenty-five million, four hundred ninety-six thousand, six hundred forty".