66182536 has 64 divisors (see below), whose sum is σ = 146880000. Its totient is φ = 27941760.

The previous prime is 66182527. The next prime is 66182537. The reversal of 66182536 is 63528166.

It is a junction number, because it is equal to n+sod(n) for n = 66182495 and 66182504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66182537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244081 + ... + 244351.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^66182536 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 66182536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

66182536 is an abundant number, since it is smaller than the sum of its proper divisors (80697464).

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

66182536 is a wasteful number, since it uses less digits than its factorization.

66182536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 66182536 is about 8135.2649618805. The cubic root of 66182536 is about 404.4962206342.

The spelling of 66182536 in words is "sixty-six million, one hundred eighty-two thousand, five hundred thirty-six".