66988224 has 84 divisors (see below), whose sum is σ = 202148440. Its totient is φ = 21150720.

The previous prime is 66988223. The next prime is 66988247. The reversal of 66988224 is 42288966.

66988224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66988224.

It is not an unprimeable number, because it can be changed into a prime (66988223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7884 + ... + 14004.

Almost surely, 2^66988224 is an apocalyptic number.

66988224 is a gapful number since it is divisible by the number (64) 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 66988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101074220).

66988224 is an abundant number, since it is smaller than the sum of its proper divisors (135160216).

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

66988224 is a wasteful number, since it uses less digits than its factorization.

66988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6145 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 66988224 is about 8184.6334065736. The cubic root of 66988224 is about 406.1310132322.

The spelling of 66988224 in words is "sixty-six million, nine hundred eighty-eight thousand, two hundred twenty-four".