8058960 has 320 divisors, whose sum is σ = 34997760. Its totient is φ = 1658880.

The previous prime is 8058937. The next prime is 8059033. The reversal of 8058960 is 698508.

8058960 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

8058960 is strictly pandigital in base 8.

It is a nialpdrome in base 6.

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 63 ways as a sum of consecutive naturals, for example, 196540 + ... + 196580.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^8058960 is an apocalyptic number.

8058960 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 8058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

8058960 is an abundant number, since it is smaller than the sum of its proper divisors (26938800).

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

8058960 is a wasteful number, since it uses less digits than its factorization.

8058960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8058960 is about 2838.8307452189. The cubic root of 8058960 is about 200.4901312091.

The spelling of 8058960 in words is "eight million, fifty-eight thousand, nine hundred sixty".