25827480 has 192 divisors, whose sum is σ = 98879040. Its totient is φ = 5723136.

The previous prime is 25827469. The next prime is 25827481. The reversal of 25827480 is 8472852.

It is a happy number.

25827480 is a `hidden beast` number, since 2 + 582 + 74 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25827481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93102 + ... + 93378.

It is an arithmetic number, because the mean of its divisors is an integer number (514995).

Almost surely, 2^25827480 is an apocalyptic number.

25827480 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 25827480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439520).

25827480 is an abundant number, since it is smaller than the sum of its proper divisors (73051560).

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

25827480 is a wasteful number, since it uses less digits than its factorization.

25827480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 25827480 is about 5082.0743796210. The cubic root of 25827480 is about 295.5929088494.

The spelling of 25827480 in words is "twenty-five million, eight hundred twenty-seven thousand, four hundred eighty".