58516640 has 96 divisors (see below), whose sum is σ = 170190720. Its totient is φ = 18514944.

The previous prime is 58516631. The next prime is 58516649. The reversal of 58516640 is 4661585.

It is a happy number.

58516640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58516631) and next prime (58516649).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 58516640.

It is not an unprimeable number, because it can be changed into a prime (58516649) 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 15 ways as a sum of consecutive naturals, for example, 12551 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 2^58516640 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 58516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095360).

58516640 is an abundant number, since it is smaller than the sum of its proper divisors (111674080).

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

58516640 is a wasteful number, since it uses less digits than its factorization.

58516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 58516640 is about 7649.6169838757. The cubic root of 58516640 is about 388.2336071516.

It can be divided in two parts, 585 and 16640, that multiplied together give a square (9734400 = 3120²).

The spelling of 58516640 in words is "fifty-eight million, five hundred sixteen thousand, six hundred forty".