58164480 has 432 divisors, whose sum is σ = 241061184. Its totient is φ = 13271040.

The previous prime is 58164467. The next prime is 58164511. The reversal of 58164480 is 8446185.

58164480 is a `hidden beast` number, since 5 + 8 + 1 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 3421432 + ... + 3421448.

It is an arithmetic number, because the mean of its divisors is an integer number (558012).

Almost surely, 2^58164480 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 58164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

58164480 is an abundant number, since it is smaller than the sum of its proper divisors (182896704).

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

58164480 is a wasteful number, since it uses less digits than its factorization.

58164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58164480 is about 7626.5641018744. The cubic root of 58164480 is about 387.4532277921.

It can be divided in two parts, 5816 and 4480, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 58164480 in words is "fifty-eight million, one hundred sixty-four thousand, four hundred eighty".