58768644 has 48 divisors (see below), whose sum is σ = 150716160. Its totient is φ = 17675040.

The previous prime is 58768627. The next prime is 58768663. The reversal of 58768644 is 44686785.

Its product of digits (1290240) is a multiple of the sum of its prime factors (3360).

It is a junction number, because it is equal to n+sod(n) for n = 58768593 and 58768602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16747 + ... + 19949.

It is an arithmetic number, because the mean of its divisors is an integer number (3139920).

Almost surely, 2^58768644 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 58768644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75358080).

58768644 is an abundant number, since it is smaller than the sum of its proper divisors (91947516).

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

58768644 is a wasteful number, since it uses less digits than its factorization.

58768644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3358 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 58768644 is about 7666.0709623640. The cubic root of 58768644 is about 388.7901229942.

The spelling of 58768644 in words is "fifty-eight million, seven hundred sixty-eight thousand, six hundred forty-four".