58245840 has 60 divisors (see below), whose sum is σ = 195611364. Its totient is φ = 15532032.

The previous prime is 58245829. The next prime is 58245841. The reversal of 58245840 is 4854285.

58245840 is a `hidden beast` number, since 58 + 24 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 19607184 = 6216^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 58245795 and 58245804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58245841) 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, 39729 + ... + 41168.

Almost surely, 2^58245840 is an apocalyptic number.

It is an amenable number.

58245840 is an abundant number, since it is smaller than the sum of its proper divisors (137365524).

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

58245840 is a wasteful number, since it uses less digits than its factorization.

58245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80916 (or 80907 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 58245840 is about 7631.8962257096. The cubic root of 58245840 is about 387.6337990955.

It can be divided in two parts, 5824 and 5840, that added together give a square (11664 = 108²).

The spelling of 58245840 in words is "fifty-eight million, two hundred forty-five thousand, eight hundred forty".