58032640 has 40 divisors (see below), whose sum is σ = 139148460. Its totient is φ = 23212032.

The previous prime is 58032629. The next prime is 58032649. The reversal of 58032640 is 4623085.

It can be written as a sum of positive squares in 2 ways, for example, as 54878464 + 3154176 = 7408^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 58032599 and 58032608.

It is not an unprimeable number, because it can be changed into a prime (58032649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8775 + ... + 13894.

Almost surely, 2^58032640 is an apocalyptic number.

It is an amenable number.

58032640 is an abundant number, since it is smaller than the sum of its proper divisors (81115820).

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

58032640 is an equidigital number, since it uses as much as digits as its factorization.

58032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22692 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 58032640 is about 7617.9157254462. The cubic root of 58032640 is about 387.1602627526.

The spelling of 58032640 in words is "fifty-eight million, thirty-two thousand, six hundred forty".