25138080 has 288 divisors, whose sum is σ = 100336320. Its totient is φ = 5829120.

The previous prime is 25138079. The next prime is 25138129. The reversal of 25138080 is 8083152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092949 + ... + 1092971.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 2^25138080 is an apocalyptic number.

25138080 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 25138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

25138080 is an abundant number, since it is smaller than the sum of its proper divisors (75198240).

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

25138080 is a wasteful number, since it uses less digits than its factorization.

25138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 25138080 is about 5013.7889863854. The cubic root of 25138080 is about 292.9391169068.

The spelling of 25138080 in words is "twenty-five million, one hundred thirty-eight thousand, eighty".