25984800 has 180 divisors, whose sum is σ = 94997826. Its totient is φ = 6912000.

The previous prime is 25984781. The next prime is 25984801. The reversal of 25984800 is 848952.

It can be written as a sum of positive squares in 3 ways, for example, as 25040016 + 944784 = 5004^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (25984801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64600 + ... + 65000.

Almost surely, 2^25984800 is an apocalyptic number.

25984800 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 25984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47498913).

25984800 is an abundant number, since it is smaller than the sum of its proper divisors (69013026).

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

25984800 is a wasteful number, since it uses less digits than its factorization.

25984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25984800 is about 5097.5288130623. The cubic root of 25984800 is about 296.1918648944.

The spelling of 25984800 in words is "twenty-five million, nine hundred eighty-four thousand, eight hundred".