58113600 has 84 divisors (see below), whose sum is σ = 190676784. Its totient is φ = 15495680.

The previous prime is 58113581. The next prime is 58113607. The reversal of 58113600 is 631185.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58113607) 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, 1254 + ... + 10853.

Almost surely, 2^58113600 is an apocalyptic number.

58113600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95338392).

58113600 is an abundant number, since it is smaller than the sum of its proper divisors (132563184).

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

58113600 is a wasteful number, since it uses less digits than its factorization.

58113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58113600 is about 7623.2276628735. The cubic root of 58113600 is about 387.3402185508.

Adding to 58113600 its reverse (631185), we get a palindrome (58744785).

The spelling of 58113600 in words is "fifty-eight million, one hundred thirteen thousand, six hundred".