58231680 has 128 divisors (see below), whose sum is σ = 199977120. Its totient is φ = 14327808.

The previous prime is 58231669. The next prime is 58231741. The reversal of 58231680 is 8613285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 23794 + ... + 26126.

Almost surely, 2^58231680 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 58231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99988560).

58231680 is an abundant number, since it is smaller than the sum of its proper divisors (141745440).

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

58231680 is a wasteful number, since it uses less digits than its factorization.

58231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 58231680 is about 7630.9684837509. The cubic root of 58231680 is about 387.6023843229.

It can be divided in two parts, 5823 and 1680, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 58231680 in words is "fifty-eight million, two hundred thirty-one thousand, six hundred eighty".