25896000 has 224 divisors, whose sum is σ = 93195648. Its totient is φ = 6297600.

The previous prime is 25895983. The next prime is 25896023. The reversal of 25896000 is 69852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311959 + ... + 312041.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^25896000 is an apocalyptic number.

25896000 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 25896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

25896000 is an abundant number, since it is smaller than the sum of its proper divisors (67299648).

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

25896000 is a wasteful number, since it uses less digits than its factorization.

25896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25896000 is about 5088.8112560794. The cubic root of 25896000 is about 295.8540795255.

The spelling of 25896000 in words is "twenty-five million, eight hundred ninety-six thousand".