58788090 has 96 divisors (see below), whose sum is σ = 166233600. Its totient is φ = 14359680.

The previous prime is 58788089. The next prime is 58788097. The reversal of 58788090 is 9088785.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58788097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52456 + ... + 53564.

It is an arithmetic number, because the mean of its divisors is an integer number (1731600).

Almost surely, 2^58788090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58788090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83116800).

58788090 is an abundant number, since it is smaller than the sum of its proper divisors (107445510).

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

58788090 is a wasteful number, since it uses less digits than its factorization.

58788090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 58788090 is about 7667.3391734030. The cubic root of 58788090 is about 388.8330006155.

The spelling of 58788090 in words is "fifty-eight million, seven hundred eighty-eight thousand, ninety".