58112640 has 320 divisors, whose sum is σ = 222156000. Its totient is φ = 14432256.

The previous prime is 58112629. The next prime is 58112641. The reversal of 58112640 is 4621185.

58112640 is a `hidden beast` number, since 5 + 8 + 1 + 12 + 640 = 666.

58112640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (58112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984931 + ... + 984989.

Almost surely, 2^58112640 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 58112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111078000).

58112640 is an abundant number, since it is smaller than the sum of its proper divisors (164043360).

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

58112640 is a wasteful number, since it uses less digits than its factorization.

58112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58112640 is about 7623.1646971583. The cubic root of 58112640 is about 387.3380856671.

The spelling of 58112640 in words is "fifty-eight million, one hundred twelve thousand, six hundred forty".