58345056 has 192 divisors, whose sum is σ = 212405760. Its totient is φ = 15137280.

The previous prime is 58345019. The next prime is 58345061. The reversal of 58345056 is 65054385.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58345056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66090 + ... + 66966.

It is an arithmetic number, because the mean of its divisors is an integer number (1106280).

Almost surely, 2^58345056 is an apocalyptic number.

58345056 is a gapful number since it is divisible by the number (56) 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 58345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106202880).

58345056 is an abundant number, since it is smaller than the sum of its proper divisors (154060704).

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

58345056 is a wasteful number, since it uses less digits than its factorization.

58345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 58345056 is about 7638.3935483844. The cubic root of 58345056 is about 387.8537727929.

The spelling of 58345056 in words is "fifty-eight million, three hundred forty-five thousand, fifty-six".