25279760 has 80 divisors (see below), whose sum is σ = 66960000. Its totient is φ = 8785920.

The previous prime is 25279759. The next prime is 25279777. The reversal of 25279760 is 6797252.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19616 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^25279760 is an apocalyptic number.

25279760 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 25279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

25279760 is an abundant number, since it is smaller than the sum of its proper divisors (41680240).

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

25279760 is a wasteful number, since it uses less digits than its factorization.

25279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 25279760 is about 5027.8981692154. The cubic root of 25279760 is about 293.4884280830.

The spelling of 25279760 in words is "twenty-five million, two hundred seventy-nine thousand, seven hundred sixty".