58642480 has 80 divisors (see below), whose sum is σ = 148428000. Its totient is φ = 21417984.

The previous prime is 58642477. The next prime is 58642513. The reversal of 58642480 is 8424685.

58642480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117271 + ... + 117769.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^58642480 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 58642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214000).

58642480 is an abundant number, since it is smaller than the sum of its proper divisors (89785520).

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

58642480 is a wasteful number, since it uses less digits than its factorization.

58642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 58642480 is about 7657.8378149449. The cubic root of 58642480 is about 388.5117066107.

The spelling of 58642480 in words is "fifty-eight million, six hundred forty-two thousand, four hundred eighty".