25964820 has 96 divisors (see below), whose sum is σ = 92332800. Its totient is φ = 5933952.

The previous prime is 25964789. The next prime is 25964843. The reversal of 25964820 is 2846952.

It is a happy number.

25964820 is a `hidden beast` number, since 2 + 5 + 9 + 648 + 2 + 0 = 666.

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

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, 346 + ... + 7214.

It is an arithmetic number, because the mean of its divisors is an integer number (961800).

Almost surely, 2^25964820 is an apocalyptic number.

25964820 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 25964820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46166400).

25964820 is an abundant number, since it is smaller than the sum of its proper divisors (66367980).

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

25964820 is a wasteful number, since it uses less digits than its factorization.

25964820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 25964820 is about 5095.5686630640. The cubic root of 25964820 is about 296.1159303622.

The spelling of 25964820 in words is "twenty-five million, nine hundred sixty-four thousand, eight hundred twenty".