58945664 has 64 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 27365376.

The previous prime is 58945643. The next prime is 58945669. The reversal of 58945664 is 46654985.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (58945669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223997 + ... + 224259.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^58945664 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 58945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

58945664 is an abundant number, since it is smaller than the sum of its proper divisors (67077376).

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

58945664 is a wasteful number, since it uses less digits than its factorization.

58945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 58945664 is about 7677.6079608170. The cubic root of 58945664 is about 389.1800964898.

The spelling of 58945664 in words is "fifty-eight million, nine hundred forty-five thousand, six hundred sixty-four".