58587480 has 192 divisors, whose sum is σ = 221495040. Its totient is φ = 13153536.

The previous prime is 58587467. The next prime is 58587481. The reversal of 58587480 is 8478585.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58587481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168667 + ... + 169013.

It is an arithmetic number, because the mean of its divisors is an integer number (1153620).

Almost surely, 2^58587480 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 58587480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110747520).

58587480 is an abundant number, since it is smaller than the sum of its proper divisors (162907560).

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

58587480 is a wasteful number, since it uses less digits than its factorization.

58587480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 58587480 is about 7654.2458805554. The cubic root of 58587480 is about 388.3902086360.

The spelling of 58587480 in words is "fifty-eight million, five hundred eighty-seven thousand, four hundred eighty".