25782960 has 160 divisors (see below), whose sum is σ = 92851200. Its totient is φ = 5796864.

The previous prime is 25782959. The next prime is 25782983. The reversal of 25782960 is 6928752.

It is a happy number.

It is a super-2 number, since 2×25782960² = 1329522052723200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172966 + ... + 173114.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^25782960 is an apocalyptic number.

25782960 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 25782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

25782960 is an abundant number, since it is smaller than the sum of its proper divisors (67068240).

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

25782960 is a wasteful number, since it uses less digits than its factorization.

25782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 25782960 is about 5077.6923892650. The cubic root of 25782960 is about 295.4229688614.

The spelling of 25782960 in words is "twenty-five million, seven hundred eighty-two thousand, nine hundred sixty".