25890 has 16 divisors (see below), whose sum is σ = 62208. Its totient is φ = 6896.

The previous prime is 25889. The next prime is 25903. The reversal of 25890 is 9852.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 25890.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2²⁵⁸⁹⁰ is an apocalyptic number.

25890 is an abundant number, since it is smaller than the sum of its proper divisors (36318).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104).

25890 is a wasteful number, since it uses less digits than its factorization.

25890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 25890 is about 160.9036979065. The cubic root of 25890 is about 29.5831228357.

It can be divided in two parts, 258 and 90, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 25890 in words is "twenty-five thousand, eight hundred ninety".