58082640 has 240 divisors, whose sum is σ = 229003200. Its totient is φ = 12042240.

The previous prime is 58082611. The next prime is 58082663. The reversal of 58082640 is 4628085.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129136 + ... + 129584.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^58082640 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 58082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

58082640 is an abundant number, since it is smaller than the sum of its proper divisors (170920560).

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

58082640 is a wasteful number, since it uses less digits than its factorization.

58082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 58082640 is about 7621.1967564156. The cubic root of 58082640 is about 387.2714212103.

It can be divided in two parts, 5808 and 2640, that added together give a palindrome (8448).

The spelling of 58082640 in words is "fifty-eight million, eighty-two thousand, six hundred forty".