8059040 has 96 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 2764800.

The previous prime is 8059033. The next prime is 8059049. The reversal of 8059040 is 409508.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8059049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33320 + ... + 33560.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^8059040 is an apocalyptic number.

8059040 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 8059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

8059040 is an abundant number, since it is smaller than the sum of its proper divisors (13895200).

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

8059040 is a wasteful number, since it uses less digits than its factorization.

8059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 8059040 is about 2838.8448354921. The cubic root of 8059040 is about 200.4907946180.

The spelling of 8059040 in words is "eight million, fifty-nine thousand, forty".