58768320 has 224 divisors, whose sum is σ = 213530688. Its totient is φ = 13565952.

The previous prime is 58768319. The next prime is 58768351. The reversal of 58768320 is 2386785.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 212022 + ... + 212298.

It is an arithmetic number, because the mean of its divisors is an integer number (953262).

Almost surely, 2^58768320 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 58768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106765344).

58768320 is an abundant number, since it is smaller than the sum of its proper divisors (154762368).

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

58768320 is a wasteful number, since it uses less digits than its factorization.

58768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 58768320 is about 7666.0498302581. The cubic root of 58768320 is about 388.7894085076.

It can be divided in two parts, 5876 and 8320, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 58768320 in words is "fifty-eight million, seven hundred sixty-eight thousand, three hundred twenty".