58748064 has 96 divisors (see below), whose sum is σ = 159776064. Its totient is φ = 18892800.

The previous prime is 58748059. The next prime is 58748071. The reversal of 58748064 is 46084785.

58748064 = T₁₂₃₂ + T₁₂₃₃ + ... + T₁₃₀₄.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581614 + ... + 581714.

It is an arithmetic number, because the mean of its divisors is an integer number (1664334).

Almost surely, 2^58748064 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 58748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79888032).

58748064 is an abundant number, since it is smaller than the sum of its proper divisors (101028000).

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

58748064 is a wasteful number, since it uses less digits than its factorization.

58748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 58748064 is about 7664.7285666226. The cubic root of 58748064 is about 388.7447346468.

The spelling of 58748064 in words is "fifty-eight million, seven hundred forty-eight thousand, sixty-four".