58106880 has 264 divisors, whose sum is σ = 219061752. Its totient is φ = 14155776.

The previous prime is 58106863. The next prime is 58106891. The reversal of 58106880 is 8860185.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 57517056 = 768^2 + 7584^2 .

It is a super-3 number, since 3×58106880³ (a number of 24 digits) contains 333 as substring.

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

It is a zygodrome in base 8.

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, 598992 + ... + 599088.

Almost surely, 2^58106880 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 58106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109530876).

58106880 is an abundant number, since it is smaller than the sum of its proper divisors (160954872).

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

58106880 is a wasteful number, since it uses less digits than its factorization.

58106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 58106880 is about 7622.7868919444. The cubic root of 58106880 is about 387.3252878714.

The spelling of 58106880 in words is "fifty-eight million, one hundred six thousand, eight hundred eighty".