36666816 has 56 divisors (see below), whose sum is σ = 97468944. Its totient is φ = 12165120.

The previous prime is 36666811. The next prime is 36666821. The reversal of 36666816 is 61866663.

It is an interprime number because it is at equal distance from previous prime (36666811) and next prime (36666821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36666811) 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, 67506 + ... + 68046.

Almost surely, 2^36666816 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 36666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48734472).

36666816 is an abundant number, since it is smaller than the sum of its proper divisors (60802128).

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

36666816 is a wasteful number, since it uses less digits than its factorization.

36666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 36666816 is about 6055.3130389766. The cubic root of 36666816 is about 332.2189488154.

The spelling of 36666816 in words is "thirty-six million, six hundred sixty-six thousand, eight hundred sixteen".