25947680 has 96 divisors (see below), whose sum is σ = 69890688. Its totient is φ = 9011200.

The previous prime is 25947679. The next prime is 25947697. The reversal of 25947680 is 8674952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40160 + ... + 40800.

It is an arithmetic number, because the mean of its divisors is an integer number (728028).

Almost surely, 2^25947680 is an apocalyptic number.

25947680 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 25947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945344).

25947680 is an abundant number, since it is smaller than the sum of its proper divisors (43943008).

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

25947680 is a wasteful number, since it uses less digits than its factorization.

25947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 25947680 is about 5093.8865319125. The cubic root of 25947680 is about 296.0507582786.

The spelling of 25947680 in words is "twenty-five million, nine hundred forty-seven thousand, six hundred eighty".