58112064 has 84 divisors (see below), whose sum is σ = 167668956. Its totient is φ = 19243008.

The previous prime is 58112059. The next prime is 58112081. The reversal of 58112064 is 46021185.

58112064 is a `hidden beast` number, since 581 + 1 + 20 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 49112064 = 3000^2 + 7008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133992 + ... + 134424.

It is an arithmetic number, because the mean of its divisors is an integer number (1996059).

Almost surely, 2^58112064 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 58112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83834478).

58112064 is an abundant number, since it is smaller than the sum of its proper divisors (109556892).

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

58112064 is a wasteful number, since it uses less digits than its factorization.

58112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58112064 is about 7623.1269174795. The cubic root of 58112064 is about 387.3368059256.

It can be divided in two parts, 5811 and 2064, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 58112064 in words is "fifty-eight million, one hundred twelve thousand, sixty-four".