58249840 has 80 divisors (see below), whose sum is σ = 151820640. Its totient is φ = 20597760.

The previous prime is 58249819. The next prime is 58249847. The reversal of 58249840 is 4894285.

58249840 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 Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 58249793 and 58249802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58249847) 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, 31666 + ... + 33454.

It is an arithmetic number, because the mean of its divisors is an integer number (1897758).

Almost surely, 2^58249840 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 58249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75910320).

58249840 is an abundant number, since it is smaller than the sum of its proper divisors (93570800).

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

58249840 is a wasteful number, since it uses less digits than its factorization.

58249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 58249840 is about 7632.1582792812. The cubic root of 58249840 is about 387.6426724028.

The spelling of 58249840 in words is "fifty-eight million, two hundred forty-nine thousand, eight hundred forty".