58870968 has 64 divisors (see below), whose sum is σ = 166857600. Its totient is φ = 17159040.

The previous prime is 58870951. The next prime is 58870991. The reversal of 58870968 is 86907885.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58870968.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 963 + ... + 10893.

It is an arithmetic number, because the mean of its divisors is an integer number (2607150).

Almost surely, 2^58870968 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 58870968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83428800).

58870968 is an abundant number, since it is smaller than the sum of its proper divisors (107986632).

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

58870968 is a wasteful number, since it uses less digits than its factorization.

58870968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 58870968 is about 7672.7418827952. The cubic root of 58870968 is about 389.0156372097.

The spelling of 58870968 in words is "fifty-eight million, eight hundred seventy thousand, nine hundred sixty-eight".