58263680 has 64 divisors (see below), whose sum is σ = 141739200. Its totient is φ = 22895616.

The previous prime is 58263643. The next prime is 58263713. The reversal of 58263680 is 8636285.

It is a tau number, because it is divible by the number of its divisors (64).

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, 36989 + ... + 38531.

It is an arithmetic number, because the mean of its divisors is an integer number (2214675).

Almost surely, 2^58263680 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 58263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70869600).

58263680 is an abundant number, since it is smaller than the sum of its proper divisors (83475520).

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

58263680 is a wasteful number, since it uses less digits than its factorization.

58263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 58263680 is about 7633.0649152225. The cubic root of 58263680 is about 387.6733709119.

The spelling of 58263680 in words is "fifty-eight million, two hundred sixty-three thousand, six hundred eighty".