58996080 has 320 divisors, whose sum is σ = 239984640. Its totient is φ = 13132800.

The previous prime is 58996061. The next prime is 58996087. The reversal of 58996080 is 8069985.

58996080 is a `hidden beast` number, since 589 + 9 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58996087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308785 + ... + 308975.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^58996080 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 58996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

58996080 is an abundant number, since it is smaller than the sum of its proper divisors (180988560).

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

58996080 is a wasteful number, since it uses less digits than its factorization.

58996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 58996080 is about 7680.8905733645. The cubic root of 58996080 is about 389.2910196190.

It can be divided in two parts, 589 and 96080, that added together give a palindrome (96669).

The spelling of 58996080 in words is "fifty-eight million, nine hundred ninety-six thousand, eighty".