25785920 has 56 divisors (see below), whose sum is σ = 62456568. Its totient is φ = 10137600.

The previous prime is 25785911. The next prime is 25785937. The reversal of 25785920 is 2958752.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 23892544 = 1376^2 + 4888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18860 + ... + 20180.

Almost surely, 2^25785920 is an apocalyptic number.

25785920 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 25785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31228284).

25785920 is an abundant number, since it is smaller than the sum of its proper divisors (36670648).

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

25785920 is a wasteful number, since it uses less digits than its factorization.

25785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 25785920 is about 5077.9838518845. The cubic root of 25785920 is about 295.4342737248.

The spelling of 25785920 in words is "twenty-five million, seven hundred eighty-five thousand, nine hundred twenty".