25947264 has 128 divisors (see below), whose sum is σ = 80784000. Its totient is φ = 7375872.

The previous prime is 25947247. The next prime is 25947281. The reversal of 25947264 is 46274952.

It is an interprime number because it is at equal distance from previous prime (25947247) and next prime (25947281).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131614 + ... + 131810.

It is an arithmetic number, because the mean of its divisors is an integer number (631125).

Almost surely, 2^25947264 is an apocalyptic number.

25947264 is a gapful number since it is divisible by the number (24) 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 25947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392000).

25947264 is an abundant number, since it is smaller than the sum of its proper divisors (54836736).

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

25947264 is an equidigital number, since it uses as much as digits as its factorization.

25947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

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

The square root of 25947264 is about 5093.8456984875. The cubic root of 25947264 is about 296.0491761491.

The spelling of 25947264 in words is "twenty-five million, nine hundred forty-seven thousand, two hundred sixty-four".