58086144 has 108 divisors (see below), whose sum is σ = 177447816. Its totient is φ = 18210816.

The previous prime is 58086137. The next prime is 58086179. The reversal of 58086144 is 44168085.

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

It is a junction number, because it is equal to n+sod(n) for n = 58086099 and 58086108.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38427 + ... + 39909.

Almost surely, 2^58086144 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 58086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88723908).

58086144 is an abundant number, since it is smaller than the sum of its proper divisors (119361672).

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

58086144 is a wasteful number, since it uses less digits than its factorization.

58086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58086144 is about 7621.4266381039. The cubic root of 58086144 is about 387.2792088027.

The spelling of 58086144 in words is "fifty-eight million, eighty-six thousand, one hundred forty-four".