58345296 has 80 divisors (see below), whose sum is σ = 161239680. Its totient is φ = 18135040.

The previous prime is 58345289. The next prime is 58345327. The reversal of 58345296 is 69254385.

58345296 = T₃₆₉ + T₃₇₀ + ... + T₇₃₆.

58345296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44620 + ... + 45908.

It is an arithmetic number, because the mean of its divisors is an integer number (2015496).

Almost surely, 2^58345296 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 58345296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619840).

58345296 is an abundant number, since it is smaller than the sum of its proper divisors (102894384).

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

58345296 is a wasteful number, since it uses less digits than its factorization.

58345296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1358 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 58345296 is about 7638.4092584778. The cubic root of 58345296 is about 387.8543045991.

The spelling of 58345296 in words is "fifty-eight million, three hundred forty-five thousand, two hundred ninety-six".