66830624 has 96 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 27371520.

The previous prime is 66830611. The next prime is 66830627. The reversal of 66830624 is 42603866.

66830624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 8175²-1.

It is not an unprimeable number, because it can be changed into a prime (66830627) 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 15 ways as a sum of consecutive naturals, for example, 915452 + ... + 915524.

It is an arithmetic number, because the mean of its divisors is an integer number (1637916).

Almost surely, 2^66830624 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 66830624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78619968).

66830624 is an abundant number, since it is smaller than the sum of its proper divisors (90409312).

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

66830624 is a wasteful number, since it uses less digits than its factorization.

66830624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 66830624 is about 8174.9999388379. Note that the first 4 decimals coincide. The cubic root of 66830624 is about 405.8122681136.

The spelling of 66830624 in words is "sixty-six million, eight hundred thirty thousand, six hundred twenty-four".