58536060 has 96 divisors (see below), whose sum is σ = 184633344. Its totient is φ = 13728000.

The previous prime is 58536059. The next prime is 58536061. The reversal of 58536060 is 6063585.

It is an interprime number because it is at equal distance from previous prime (58536059) and next prime (58536061).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58536061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19030 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 2^58536060 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 58536060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92316672).

58536060 is an abundant number, since it is smaller than the sum of its proper divisors (126097284).

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

58536060 is a wasteful number, since it uses less digits than its factorization.

58536060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 58536060 is about 7650.8862231770. The cubic root of 58536060 is about 388.2765502800.

The spelling of 58536060 in words is "fifty-eight million, five hundred thirty-six thousand, sixty".