58014640 has 80 divisors (see below), whose sum is σ = 141062400. Its totient is φ = 22164480.

The previous prime is 58014637. The next prime is 58014673. The reversal of 58014640 is 4641085.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 58014599 and 58014608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369442 + ... + 369598.

It is an arithmetic number, because the mean of its divisors is an integer number (1763280).

Almost surely, 2^58014640 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 58014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531200).

58014640 is an abundant number, since it is smaller than the sum of its proper divisors (83047760).

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

58014640 is a wasteful number, since it uses less digits than its factorization.

58014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 58014640 is about 7616.7342083074. The cubic root of 58014640 is about 387.1202300781.

The spelling of 58014640 in words is "fifty-eight million, fourteen thousand, six hundred forty".