25782336 has 84 divisors (see below), whose sum is σ = 78277212. Its totient is φ = 8085504.

The previous prime is 25782313. The next prime is 25782343. The reversal of 25782336 is 63328752.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 13838400 = 3456^2 + 3720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 25782336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8476 + ... + 11108.

Almost surely, 2^25782336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39138606).

25782336 is an abundant number, since it is smaller than the sum of its proper divisors (52494876).

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

25782336 is a wasteful number, since it uses less digits than its factorization.

25782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2655 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 25782336 is about 5077.6309436587. The cubic root of 25782336 is about 295.4205855635.

The spelling of 25782336 in words is "twenty-five million, seven hundred eighty-two thousand, three hundred thirty-six".