58919840 has 96 divisors (see below), whose sum is σ = 164312064. Its totient is φ = 19537920.

The previous prime is 58919831. The next prime is 58919843. The reversal of 58919840 is 4891985.

It is a junction number, because it is equal to n+sod(n) for n = 58919791 and 58919800.

It is not an unprimeable number, because it can be changed into a prime (58919843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33872 + ... + 35568.

It is an arithmetic number, because the mean of its divisors is an integer number (1711584).

Almost surely, 2^58919840 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 58919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82156032).

58919840 is an abundant number, since it is smaller than the sum of its proper divisors (105392224).

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

58919840 is a wasteful number, since it uses less digits than its factorization.

58919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 58919840 is about 7675.9260027700. The cubic root of 58919840 is about 389.1232551315.

The spelling of 58919840 in words is "fifty-eight million, nine hundred nineteen thousand, eight hundred forty".