58638240 has 144 divisors (see below), whose sum is σ = 204972768. Its totient is φ = 15257088.

The previous prime is 58638233. The next prime is 58638259. The reversal of 58638240 is 4283685.

58638240 is a `hidden beast` number, since 586 + 38 + 2 + 40 = 666.

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

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 = 58638195 and 58638204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61447 + ... + 62393.

It is an arithmetic number, because the mean of its divisors is an integer number (1423422).

Almost surely, 2^58638240 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 58638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102486384).

58638240 is an abundant number, since it is smaller than the sum of its proper divisors (146334528).

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

58638240 is a wasteful number, since it uses less digits than its factorization.

58638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58638240 is about 7657.5609693949. The cubic root of 58638240 is about 388.5023429245.

The spelling of 58638240 in words is "fifty-eight million, six hundred thirty-eight thousand, two hundred forty".