25966720 has 64 divisors (see below), whose sum is σ = 66873240. Its totient is φ = 9584640.

The previous prime is 25966697. The next prime is 25966723. The reversal of 25966720 is 2766952.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 19289664 = 2584^2 + 4392^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 25966720.

It is not an unprimeable number, because it can be changed into a prime (25966723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6760 + ... + 9880.

Almost surely, 2^25966720 is an apocalyptic number.

25966720 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 25966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436620).

25966720 is an abundant number, since it is smaller than the sum of its proper divisors (40906520).

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

25966720 is a wasteful number, since it uses less digits than its factorization.

25966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 25966720 is about 5095.7550961560. The cubic root of 25966720 is about 296.1231530395.

It can be divided in two parts, 2596 and 6720, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 25966720 in words is "twenty-five million, nine hundred sixty-six thousand, seven hundred twenty".