66816936 has 96 divisors (see below), whose sum is σ = 194313600. Its totient is φ = 20666880.

The previous prime is 66816929. The next prime is 66816949. The reversal of 66816936 is 63961866.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66816891 and 66816900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96351 + ... + 97041.

It is an arithmetic number, because the mean of its divisors is an integer number (2024100).

Almost surely, 2^66816936 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 66816936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97156800).

66816936 is an abundant number, since it is smaller than the sum of its proper divisors (127496664).

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

66816936 is a wasteful number, since it uses less digits than its factorization.

66816936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 66816936 is about 8174.1627094156. The cubic root of 66816936 is about 405.7845605684.

The spelling of 66816936 in words is "sixty-six million, eight hundred sixteen thousand, nine hundred thirty-six".