25827984 has 240 divisors, whose sum is σ = 93521792. Its totient is φ = 6718464.

The previous prime is 25827983. The next prime is 25828001. The reversal of 25827984 is 48972852.

It is a super-3 number, since 3×25827984³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25827983) 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, 353772 + ... + 353844.

Almost surely, 2^25827984 is an apocalyptic number.

25827984 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 25827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46760896).

25827984 is an abundant number, since it is smaller than the sum of its proper divisors (67693808).

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

25827984 is a wasteful number, since it uses less digits than its factorization.

25827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 25827984 is about 5082.1239654302. The cubic root of 25827984 is about 295.5948315800.

The spelling of 25827984 in words is "twenty-five million, eight hundred twenty-seven thousand, nine hundred eighty-four".