58195968 has 80 divisors (see below), whose sum is σ = 159383400. Its totient is φ = 18874368.

The previous prime is 58195939. The next prime is 58195987. The reversal of 58195968 is 86959185.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58195968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1572846 + ... + 1572882.

Almost surely, 2^58195968 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 58195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79691700).

58195968 is an abundant number, since it is smaller than the sum of its proper divisors (101187432).

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

58195968 is an frugal number, since it uses more digits than its factorization.

58195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 777600, while the sum is 51.

The square root of 58195968 is about 7628.6281859847. The cubic root of 58195968 is about 387.5231325767.

The spelling of 58195968 in words is "fifty-eight million, one hundred ninety-five thousand, nine hundred sixty-eight".