25865400 has 96 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 6268800.

The previous prime is 25865387. The next prime is 25865401. The reversal of 25865400 is 456852.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25865401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^25865400 is an apocalyptic number.

25865400 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 25865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

25865400 is an abundant number, since it is smaller than the sum of its proper divisors (61629000).

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

25865400 is a wasteful number, since it uses less digits than its factorization.

25865400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 25865400 is about 5085.8037712834. The cubic root of 25865400 is about 295.7375016363.

The spelling of 25865400 in words is "twenty-five million, eight hundred sixty-five thousand, four hundred".