25947920 has 80 divisors (see below), whose sum is σ = 65144640. Its totient is φ = 9580032.

The previous prime is 25947919. The next prime is 25947941. The reversal of 25947920 is 2974952.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65162 + ... + 65558.

It is an arithmetic number, because the mean of its divisors is an integer number (814308).

Almost surely, 2^25947920 is an apocalyptic number.

25947920 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 25947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32572320).

25947920 is an abundant number, since it is smaller than the sum of its proper divisors (39196720).

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

25947920 is a wasteful number, since it uses less digits than its factorization.

25947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 25947920 is about 5093.9100895088. The cubic root of 25947920 is about 296.0516710380.

The spelling of 25947920 in words is "twenty-five million, nine hundred forty-seven thousand, nine hundred twenty".