25616960 has 84 divisors (see below), whose sum is σ = 65033652. Its totient is φ = 9609216.

The previous prime is 25616957. The next prime is 25617017. The reversal of 25616960 is 6961652.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 53824 + 25563136 = 232^2 + 5056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25616960.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92342 + ... + 92618.

Almost surely, 2^25616960 is an apocalyptic number.

25616960 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 25616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516826).

25616960 is an abundant number, since it is smaller than the sum of its proper divisors (39416692).

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

25616960 is a wasteful number, since it uses less digits than its factorization.

25616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 25616960 is about 5061.3199859325. The cubic root of 25616960 is about 294.7875900802.

The spelling of 25616960 in words is "twenty-five million, six hundred sixteen thousand, nine hundred sixty".