25783680 has 128 divisors (see below), whose sum is σ = 88593120. Its totient is φ = 6340608.

The previous prime is 25783669. The next prime is 25783687. The reversal of 25783680 is 8638752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25783687) 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, 24444 + ... + 25476.

Almost surely, 2^25783680 is an apocalyptic number.

25783680 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 25783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44296560).

25783680 is an abundant number, since it is smaller than the sum of its proper divisors (62809440).

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

25783680 is a wasteful number, since it uses less digits than its factorization.

25783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 25783680 is about 5077.7632871177. The cubic root of 25783680 is about 295.4257187726.

The spelling of 25783680 in words is "twenty-five million, seven hundred eighty-three thousand, six hundred eighty".