58384080 has 120 divisors (see below), whose sum is σ = 197889120. Its totient is φ = 15425280.

The previous prime is 58384063. The next prime is 58384087. The reversal of 58384080 is 8048385.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58384087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94011 + ... + 94629.

It is an arithmetic number, because the mean of its divisors is an integer number (1649076).

Almost surely, 2^58384080 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 58384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944560).

58384080 is an abundant number, since it is smaller than the sum of its proper divisors (139505040).

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

58384080 is a wasteful number, since it uses less digits than its factorization.

58384080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58384080 is about 7640.9475852148. The cubic root of 58384080 is about 387.9402253189.

The spelling of 58384080 in words is "fifty-eight million, three hundred eighty-four thousand, eighty".