66933216 has 360 divisors, whose sum is σ = 250278336. Its totient is φ = 17418240.

The previous prime is 66933203. The next prime is 66933221. The reversal of 66933216 is 61233966.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2159121 + ... + 2159151.

Almost surely, 2^66933216 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 66933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

66933216 is an abundant number, since it is smaller than the sum of its proper divisors (183345120).

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

66933216 is a wasteful number, since it uses less digits than its factorization.

66933216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 66933216 is about 8181.2722726970. The cubic root of 66933216 is about 406.0198167101.

The spelling of 66933216 in words is "sixty-six million, nine hundred thirty-three thousand, two hundred sixteen".