25984840 has 128 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 8146944.

The previous prime is 25984831. The next prime is 25984853. The reversal of 25984840 is 4848952.

25984840 = T₂₉₄ + T₂₉₅ + ... + T₅₆₅.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25984793 and 25984802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252229 + ... + 252331.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 2^25984840 is an apocalyptic number.

25984840 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 25984840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

25984840 is an abundant number, since it is smaller than the sum of its proper divisors (46798520).

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

25984840 is a wasteful number, since it uses less digits than its factorization.

25984840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 25984840 is about 5097.5327365305. The cubic root of 25984840 is about 296.1920168764.

The spelling of 25984840 in words is "twenty-five million, nine hundred eighty-four thousand, eight hundred forty".