58631680 has 80 divisors (see below), whose sum is σ = 144611280. Its totient is φ = 22781952.

The previous prime is 58631653. The next prime is 58631711. The reversal of 58631680 is 8613685.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94411 + ... + 95029.

It is an arithmetic number, because the mean of its divisors is an integer number (1807641).

Almost surely, 2^58631680 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 58631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72305640).

58631680 is an abundant number, since it is smaller than the sum of its proper divisors (85979600).

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

58631680 is an equidigital number, since it uses as much as digits as its factorization.

58631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 58631680 is about 7657.1326225944. The cubic root of 58631680 is about 388.4878548225.

The spelling of 58631680 in words is "fifty-eight million, six hundred thirty-one thousand, six hundred eighty".