58131840 has 256 divisors, whose sum is σ = 212829120. Its totient is φ = 13369344.

The previous prime is 58131839. The next prime is 58131859. The reversal of 58131840 is 4813185.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58131798 and 58131807.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 424252 + ... + 424388.

Almost surely, 2^58131840 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 58131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106414560).

58131840 is an abundant number, since it is smaller than the sum of its proper divisors (154697280).

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

58131840 is a wasteful number, since it uses less digits than its factorization.

58131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 58131840 is about 7624.4239126638. The cubic root of 58131840 is about 387.3807388797.

The spelling of 58131840 in words is "fifty-eight million, one hundred thirty-one thousand, eight hundred forty".