58116420 has 96 divisors (see below), whose sum is σ = 181923840. Its totient is φ = 15402240.

The previous prime is 58116391. The next prime is 58116437. The reversal of 58116420 is 2461185.

58116420 is a `hidden beast` number, since 5 + 8 + 11 + 642 + 0 = 666.

58116420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 151549 + ... + 151931.

It is an arithmetic number, because the mean of its divisors is an integer number (1895040).

Almost surely, 2^58116420 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 58116420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90961920).

58116420 is an abundant number, since it is smaller than the sum of its proper divisors (123807420).

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

58116420 is a wasteful number, since it uses less digits than its factorization.

58116420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

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

The square root of 58116420 is about 7623.4126216544. The cubic root of 58116420 is about 387.3464837610.

The spelling of 58116420 in words is "fifty-eight million, one hundred sixteen thousand, four hundred twenty".