25788960 has 72 divisors (see below), whose sum is σ = 88009740. Its totient is φ = 6876672.

The previous prime is 25788943. The next prime is 25789039. The reversal of 25788960 is 6988752.

It can be written as a sum of positive squares in 2 ways, for example, as 25522704 + 266256 = 5052^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 7515 + ... + 10394.

Almost surely, 2^25788960 is an apocalyptic number.

25788960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25788960 is an abundant number, since it is smaller than the sum of its proper divisors (62220780).

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

25788960 is a wasteful number, since it uses less digits than its factorization.

25788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17930 (or 17919 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 25788960 is about 5078.2831744597. The cubic root of 25788960 is about 295.4458832246.

The spelling of 25788960 in words is "twenty-five million, seven hundred eighty-eight thousand, nine hundred sixty".