66316896 has 72 divisors (see below), whose sum is σ = 189385560. Its totient is φ = 22012416.

The previous prime is 66316891. The next prime is 66316927. The reversal of 66316896 is 69861366.

66316896 is a `hidden beast` number, since 6 + 631 + 6 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (66316891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117511 + ... + 118073.

It is an arithmetic number, because the mean of its divisors is an integer number (2630355).

Almost surely, 2^66316896 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 66316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94692780).

66316896 is an abundant number, since it is smaller than the sum of its proper divisors (123068664).

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

66316896 is a wasteful number, since it uses less digits than its factorization.

66316896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

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

The square root of 66316896 is about 8143.5186498221. The cubic root of 66316896 is about 404.7697639724.

The spelling of 66316896 in words is "sixty-six million, three hundred sixteen thousand, eight hundred ninety-six".