25632768 has 112 divisors (see below), whose sum is σ = 78638400. Its totient is φ = 7274496.

The previous prime is 25632751. The next prime is 25632799. The reversal of 25632768 is 86723652.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171958 + ... + 172106.

Almost surely, 2^25632768 is an apocalyptic number.

25632768 is a gapful number since it is divisible by the number (28) 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 25632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39319200).

25632768 is an abundant number, since it is smaller than the sum of its proper divisors (53005632).

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

25632768 is an equidigital number, since it uses as much as digits as its factorization.

25632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 25632768 is about 5062.8813930409. The cubic root of 25632768 is about 294.8482145519.

It can be divided in two parts, 256 and 32768, that multiplied together give a 23-rd power (8388608 = 2²³).

The spelling of 25632768 in words is "twenty-five million, six hundred thirty-two thousand, seven hundred sixty-eight".