58011720 has 128 divisors (see below), whose sum is σ = 192205440. Its totient is φ = 13916160.

The previous prime is 58011719. The next prime is 58011721. The reversal of 58011720 is 2711085.

It is an interprime number because it is at equal distance from previous prime (58011719) and next prime (58011721).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58011721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63507 + ... + 64413.

It is an arithmetic number, because the mean of its divisors is an integer number (1501605).

Almost surely, 2^58011720 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 58011720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96102720).

58011720 is an abundant number, since it is smaller than the sum of its proper divisors (134193720).

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

58011720 is a wasteful number, since it uses less digits than its factorization.

58011720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 58011720 is about 7616.5425226936. The cubic root of 58011720 is about 387.1137351081.

The spelling of 58011720 in words is "fifty-eight million, eleven thousand, seven hundred twenty".