58573968 has 60 divisors (see below), whose sum is σ = 156821808. Its totient is φ = 18838400.

The previous prime is 58573967. The next prime is 58573987. The reversal of 58573968 is 86937585.

58573968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58573968.

It is not an unprimeable number, because it can be changed into a prime (58573967) 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 11 ways as a sum of consecutive naturals, for example, 39643 + ... + 41093.

Almost surely, 2^58573968 is an apocalyptic number.

58573968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58573968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78410904).

58573968 is an abundant number, since it is smaller than the sum of its proper divisors (98247840).

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

58573968 is a wasteful number, since it uses less digits than its factorization.

58573968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1485 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 58573968 is about 7653.3631822879. The cubic root of 58573968 is about 388.3603482632.

The spelling of 58573968 in words is "fifty-eight million, five hundred seventy-three thousand, nine hundred sixty-eight".