58080960 has 336 divisors, whose sum is σ = 237110016. Its totient is φ = 12773376.

The previous prime is 58080947. The next prime is 58080961. The reversal of 58080960 is 6908085.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (58080961) 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, 866847 + ... + 866913.

Almost surely, 2^58080960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118555008).

58080960 is an abundant number, since it is smaller than the sum of its proper divisors (179029056).

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

58080960 is a wasteful number, since it uses less digits than its factorization.

58080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

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

The square root of 58080960 is about 7621.0865367085. The cubic root of 58080960 is about 387.2676873221.

The spelling of 58080960 in words is "fifty-eight million, eighty thousand, nine hundred sixty".