66658536 has 96 divisors (see below), whose sum is σ = 217214400. Its totient is φ = 18040320.

The previous prime is 66658519. The next prime is 66658567. The reversal of 66658536 is 63585666.

66658536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66658491 and 66658500.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 13056.

It is an arithmetic number, because the mean of its divisors is an integer number (2262650).

Almost surely, 2^66658536 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 66658536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108607200).

66658536 is an abundant number, since it is smaller than the sum of its proper divisors (150555864).

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

66658536 is a wasteful number, since it uses less digits than its factorization.

66658536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6992 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 66658536 is about 8164.4678944803. The cubic root of 66658536 is about 405.4636482490.

The spelling of 66658536 in words is "sixty-six million, six hundred fifty-eight thousand, five hundred thirty-six".