25457680 has 40 divisors (see below), whose sum is σ = 59496192. Its totient is φ = 10130304.

The previous prime is 25457639. The next prime is 25457681. The reversal of 25457680 is 8675452.

It is a happy number.

25457680 is a nontrivial binomial coefficient, being equal to C(7136, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (25457681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17127 + ... + 18553.

Almost surely, 2^25457680 is an apocalyptic number.

25457680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25457680 is the 7135-th triangular number and also the 3568-th hexagonal number.

25457680 is the 2379-th centered nonagonal number.

It is an amenable number.

25457680 is an abundant number, since it is smaller than the sum of its proper divisors (34038512).

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

25457680 is a wasteful number, since it uses less digits than its factorization.

25457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 25457680 is about 5045.5604247695. The cubic root of 25457680 is about 294.1753469856.

The spelling of 25457680 in words is "twenty-five million, four hundred fifty-seven thousand, six hundred eighty".