66051216 has 360 divisors, whose sum is σ = 251394624. Its totient is φ = 15966720.

The previous prime is 66051191. The next prime is 66051217. The reversal of 66051216 is 61215066.

It is a happy number.

It is a super-3 number, since 3×66051216³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66051216.

It is not an unprimeable number, because it can be changed into a prime (66051217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1785150 + ... + 1785186.

Almost surely, 2^66051216 is an apocalyptic number.

66051216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125697312).

66051216 is an abundant number, since it is smaller than the sum of its proper divisors (185343408).

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

66051216 is a wasteful number, since it uses less digits than its factorization.

66051216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66051216 is about 8127.1899202615. The cubic root of 66051216 is about 404.2285084431.

The spelling of 66051216 in words is "sixty-six million, fifty-one thousand, two hundred sixteen".