25882416 has 140 divisors (see below), whose sum is σ = 86198352. Its totient is φ = 7371648.

The previous prime is 25882393. The next prime is 25882433. The reversal of 25882416 is 61428852.

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

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 27 ways as a sum of consecutive naturals, for example, 81490 + ... + 81806.

Almost surely, 2^25882416 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 25882416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43099176).

25882416 is an abundant number, since it is smaller than the sum of its proper divisors (60315936).

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

25882416 is an equidigital number, since it uses as much as digits as its factorization.

25882416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 25882416 is about 5087.4763881516. The cubic root of 25882416 is about 295.8023394275.

It can be divided in two parts, 258824 and 16, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 25882416 in words is "twenty-five million, eight hundred eighty-two thousand, four hundred sixteen".