58083840 has 120 divisors (see below), whose sum is σ = 201240468. Its totient is φ = 15482880.

The previous prime is 58083797. The next prime is 58083847. The reversal of 58083840 is 4838085.

58083840 is a `hidden beast` number, since 580 + 8 + 38 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 10969344 = 6864^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58083795 and 58083804.

It is not an unprimeable number, because it can be changed into a prime (58083847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21780 + ... + 24300.

Almost surely, 2^58083840 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 58083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100620234).

58083840 is an abundant number, since it is smaller than the sum of its proper divisors (143156628).

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

58083840 is a wasteful number, since it uses less digits than its factorization.

58083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58083840 is about 7621.2754838019. The cubic root of 58083840 is about 387.2740882293.

The spelling of 58083840 in words is "fifty-eight million, eighty-three thousand, eight hundred forty".