25758240 has 96 divisors (see below), whose sum is σ = 82083456. Its totient is φ = 6789120.

The previous prime is 25758233. The next prime is 25758277. The reversal of 25758240 is 4285752.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 49180 + ... + 49700.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^25758240 is an apocalyptic number.

25758240 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 25758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728).

25758240 is an abundant number, since it is smaller than the sum of its proper divisors (56325216).

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

25758240 is a wasteful number, since it uses less digits than its factorization.

25758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 25758240 is about 5075.2576289288. The cubic root of 25758240 is about 295.3285241718.

The spelling of 25758240 in words is "twenty-five million, seven hundred fifty-eight thousand, two hundred forty".