58720064 has 84 divisors (see below), whose sum is σ = 129684780. Its totient is φ = 26357760.

The previous prime is 58720063. The next prime is 58720097. The reversal of 58720064 is 46002785.

It can be written as a sum of positive squares in 6 ways, for example, as 33640000 + 25080064 = 5800^2 + 5008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 58720064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58720063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659732 + ... + 659820.

Almost surely, 2^58720064 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 58720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64842390).

58720064 is an abundant number, since it is smaller than the sum of its proper divisors (70964716).

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

58720064 is a wasteful number, since it uses less digits than its factorization.

58720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 58720064 is about 7662.9018002321. The cubic root of 58720064 is about 388.6829647683.

The spelling of 58720064 in words is "fifty-eight million, seven hundred twenty thousand, sixty-four".