58309680 has 160 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 13040640.

The previous prime is 58309679. The next prime is 58309681. The reversal of 58309680 is 8690385.

It is an interprime number because it is at equal distance from previous prime (58309679) and next prime (58309681).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (58309681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33471 + ... + 35169.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^58309680 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 58309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

58309680 is an abundant number, since it is smaller than the sum of its proper divisors (154176720).

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

58309680 is a wasteful number, since it uses less digits than its factorization.

58309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 58309680 is about 7636.0775271077. The cubic root of 58309680 is about 387.7753686115.

The spelling of 58309680 in words is "fifty-eight million, three hundred nine thousand, six hundred eighty".