58380084 has 144 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 15510528.

The previous prime is 58380079. The next prime is 58380089. The reversal of 58380084 is 48008385.

It is an interprime number because it is at equal distance from previous prime (58380079) and next prime (58380089).

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 (58380089) 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, 426064 + ... + 426200.

It is an arithmetic number, because the mean of its divisors is an integer number (1255800).

Almost surely, 2^58380084 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 58380084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

58380084 is an abundant number, since it is smaller than the sum of its proper divisors (122455116).

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

58380084 is a wasteful number, since it uses less digits than its factorization.

58380084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

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

The square root of 58380084 is about 7640.6860948478. The cubic root of 58380084 is about 387.9313744786.

The spelling of 58380084 in words is "fifty-eight million, three hundred eighty thousand, eighty-four".