8025840 has 120 divisors (see below), whose sum is σ = 27507168. Its totient is φ = 2096640.

The previous prime is 8025803. The next prime is 8025881. The reversal of 8025840 is 485208.

8025840 is a `hidden beast` number, since 80 + 2 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51042 + ... + 51198.

Almost surely, 2^8025840 is an apocalyptic number.

8025840 is a gapful number since it is divisible by the number (80) 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 8025840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753584).

8025840 is an abundant number, since it is smaller than the sum of its proper divisors (19481328).

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

8025840 is a wasteful number, since it uses less digits than its factorization.

8025840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8025840 is about 2832.9913519106. The cubic root of 8025840 is about 200.2151019062.

The spelling of 8025840 in words is "eight million, twenty-five thousand, eight hundred forty".