58235040 has 144 divisors (see below), whose sum is σ = 204284808. Its totient is φ = 15095808.

The previous prime is 58235039. The next prime is 58235059. The reversal of 58235040 is 4053285.

It can be written as a sum of positive squares in 4 ways, for example, as 57699216 + 535824 = 7596^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 58234995 and 58235013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52734 + ... + 53826.

Almost surely, 2^58235040 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 58235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102142404).

58235040 is an abundant number, since it is smaller than the sum of its proper divisors (146049768).

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

58235040 is a wasteful number, since it uses less digits than its factorization.

58235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58235040 is about 7631.1886361169. The cubic root of 58235040 is about 387.6098391365.

The spelling of 58235040 in words is "fifty-eight million, two hundred thirty-five thousand, forty".