58665648 has 40 divisors (see below), whose sum is σ = 153066096. Its totient is φ = 19360000.

The previous prime is 58665643. The next prime is 58665661. The reversal of 58665648 is 84656685.

It is a happy number.

It is a super-3 number, since 3×58665648³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 58665597 and 58665606.

It is not an unprimeable number, because it can be changed into a prime (58665641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 10898.

Almost surely, 2^58665648 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 58665648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76533048).

58665648 is an abundant number, since it is smaller than the sum of its proper divisors (94400448).

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

58665648 is a wasteful number, since it uses less digits than its factorization.

58665648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12207 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 58665648 is about 7659.3503640975. The cubic root of 58665648 is about 388.5628632360.

The spelling of 58665648 in words is "fifty-eight million, six hundred sixty-five thousand, six hundred forty-eight".