58364064 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 16727040.

The previous prime is 58364063. The next prime is 58364071. The reversal of 58364064 is 46046385.

58364064 is a `hidden beast` number, since 5 + 8 + 3 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58364063) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 655732 + ... + 655820.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^58364064 is an apocalyptic number.

58364064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

58364064 is an abundant number, since it is smaller than the sum of its proper divisors (139224096).

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

58364064 is a wasteful number, since it uses less digits than its factorization.

58364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 58364064 is about 7639.6376877441. The cubic root of 58364064 is about 387.8958873242.

The spelling of 58364064 in words is "fifty-eight million, three hundred sixty-four thousand, sixty-four".