58141368 has 128 divisors (see below), whose sum is σ = 175872000. Its totient is φ = 17729280.

The previous prime is 58141351. The next prime is 58141379. The reversal of 58141368 is 86314185.

58141368 is a `hidden beast` number, since 581 + 4 + 13 + 68 = 666.

It is a super-2 number, since 2×58141368² = 6760837345822848, which contains 22 as substring.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126996 + ... + 127452.

It is an arithmetic number, because the mean of its divisors is an integer number (1374000).

Almost surely, 2^58141368 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 58141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87936000).

58141368 is an abundant number, since it is smaller than the sum of its proper divisors (117730632).

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

58141368 is a wasteful number, since it uses less digits than its factorization.

58141368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 58141368 is about 7625.0487211558. The cubic root of 58141368 is about 387.4019020497.

The spelling of 58141368 in words is "fifty-eight million, one hundred forty-one thousand, three hundred sixty-eight".