58800096 has 72 divisors (see below), whose sum is σ = 170004744. Its totient is φ = 19272960.

The previous prime is 58800083. The next prime is 58800103. The reversal of 58800096 is 69000885.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58800096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15895 + ... + 19241.

It is an arithmetic number, because the mean of its divisors is an integer number (2361177).

Almost surely, 2^58800096 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 58800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85002372).

58800096 is an abundant number, since it is smaller than the sum of its proper divisors (111204648).

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

58800096 is a wasteful number, since it uses less digits than its factorization.

58800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58800096 is about 7668.1220647561. The cubic root of 58800096 is about 388.8594686254.

The spelling of 58800096 in words is "fifty-eight million, eight hundred thousand, ninety-six".