58281664 has 112 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 22947840.

The previous prime is 58281659. The next prime is 58281673. The reversal of 58281664 is 46618285.

58281664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348909 + ... + 349075.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^58281664 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 58281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

58281664 is an abundant number, since it is smaller than the sum of its proper divisors (85096256).

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

58281664 is a wasteful number, since it uses less digits than its factorization.

58281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 58281664 is about 7634.2428570226. The cubic root of 58281664 is about 387.7132539671.

The spelling of 58281664 in words is "fifty-eight million, two hundred eighty-one thousand, six hundred sixty-four".