58849640 has 64 divisors (see below), whose sum is σ = 141212160. Its totient is φ = 22021120.

The previous prime is 58849633. The next prime is 58849643. The reversal of 58849640 is 4694885.

It is a happy number.

58849640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58849591 and 58849600.

It is not an unprimeable number, because it can be changed into a prime (58849643) by changing a digit.

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, 42560 + ... + 43920.

It is an arithmetic number, because the mean of its divisors is an integer number (2206440).

Almost surely, 2^58849640 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 58849640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70606080).

58849640 is an abundant number, since it is smaller than the sum of its proper divisors (82362520).

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

58849640 is a wasteful number, since it uses less digits than its factorization.

58849640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 58849640 is about 7671.3519017185. The cubic root of 58849640 is about 388.9686535099.

The spelling of 58849640 in words is "fifty-eight million, eight hundred forty-nine thousand, six hundred forty".