66824064 has 192 divisors, whose sum is σ = 210038400. Its totient is φ = 20321280.

The previous prime is 66824063. The next prime is 66824071. The reversal of 66824064 is 46042866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66824063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941149 + ... + 941219.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^66824064 is an apocalyptic number.

66824064 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 66824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

66824064 is an abundant number, since it is smaller than the sum of its proper divisors (143214336).

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

66824064 is a wasteful number, since it uses less digits than its factorization.

66824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66824064 is about 8174.5987057470. The cubic root of 66824064 is about 405.7989896921.

The spelling of 66824064 in words is "sixty-six million, eight hundred twenty-four thousand, sixty-four".