58229680 has 80 divisors (see below), whose sum is σ = 147535200. Its totient is φ = 21288960.

The previous prime is 58229671. The next prime is 58229681. The reversal of 58229680 is 8692285.

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 (40).

It is not an unprimeable number, because it can be changed into a prime (58229681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43420 + ... + 44740.

It is an arithmetic number, because the mean of its divisors is an integer number (1844190).

Almost surely, 2^58229680 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 58229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73767600).

58229680 is an abundant number, since it is smaller than the sum of its proper divisors (89305520).

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

58229680 is a wasteful number, since it uses less digits than its factorization.

58229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 58229680 is about 7630.8374376604. The cubic root of 58229680 is about 387.5979467977.

The spelling of 58229680 in words is "fifty-eight million, two hundred twenty-nine thousand, six hundred eighty".