25284960 has 120 divisors (see below), whose sum is σ = 89280576. Its totient is φ = 6739200.

The previous prime is 25284947. The next prime is 25284971. The reversal of 25284960 is 6948252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 11985 + ... + 13935.

Almost surely, 2^25284960 is an apocalyptic number.

25284960 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 25284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640288).

25284960 is an abundant number, since it is smaller than the sum of its proper divisors (63995616).

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

25284960 is a wasteful number, since it uses less digits than its factorization.

25284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1961 counting only the distinct ones).

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

The square root of 25284960 is about 5028.4152573152. The cubic root of 25284960 is about 293.5085500461.

It can be divided in two parts, 25284 and 960, that added together give a square (26244 = 162²).

The spelling of 25284960 in words is "twenty-five million, two hundred eighty-four thousand, nine hundred sixty".