58006368 has 240 divisors, whose sum is σ = 204906240. Its totient is φ = 15738624.

The previous prime is 58006367. The next prime is 58006369. The reversal of 58006368 is 86360085.

58006368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58006367) and next prime (58006369).

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 (58006367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417243 + ... + 417381.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 2^58006368 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 58006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

58006368 is an abundant number, since it is smaller than the sum of its proper divisors (146899872).

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

58006368 is a wasteful number, since it uses less digits than its factorization.

58006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58006368 is about 7616.1911740712. The cubic root of 58006368 is about 387.1018300630.

The spelling of 58006368 in words is "fifty-eight million, six thousand, three hundred sixty-eight".