25976960 has 64 divisors (see below), whose sum is σ = 63837720. Its totient is φ = 10100736.

The previous prime is 25976941. The next prime is 25976999. The reversal of 25976960 is 6967952.

It can be written as a sum of positive squares in 4 ways, for example, as 22963264 + 3013696 = 4792^2 + 1736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23132 + ... + 24228.

Almost surely, 2^25976960 is an apocalyptic number.

25976960 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 25976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918860).

25976960 is an abundant number, since it is smaller than the sum of its proper divisors (37860760).

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

25976960 is a wasteful number, since it uses less digits than its factorization.

25976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 25976960 is about 5096.7597549816. The cubic root of 25976960 is about 296.1620734034.

The spelling of 25976960 in words is "twenty-five million, nine hundred seventy-six thousand, nine hundred sixty".