25884672 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 7823360.

The previous prime is 25884647. The next prime is 25884673. The reversal of 25884672 is 27648852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25884673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67393 + ... + 67775.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^25884672 is an apocalyptic number.

25884672 is a gapful number since it is divisible by the number (22) 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 25884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

25884672 is an abundant number, since it is smaller than the sum of its proper divisors (49594368).

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

25884672 is a wasteful number, since it uses less digits than its factorization.

25884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 25884672 is about 5087.6981042511. The cubic root of 25884672 is about 295.8109335593.

It can be divided in two parts, 2588 and 4672, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 25884672 in words is "twenty-five million, eight hundred eighty-four thousand, six hundred seventy-two".