66824832 has 64 divisors (see below), whose sum is σ = 179364960. Its totient is φ = 22041600.

The previous prime is 66824827. The next prime is 66824837. The reversal of 66824832 is 23842866.

It is an interprime number because it is at equal distance from previous prime (66824827) and next prime (66824837).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (66824837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37923 + ... + 39645.

Almost surely, 2^66824832 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 66824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89682480).

66824832 is an abundant number, since it is smaller than the sum of its proper divisors (112540128).

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

66824832 is a wasteful number, since it uses less digits than its factorization.

66824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1829 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 66824832 is about 8174.6456803950. The cubic root of 66824832 is about 405.8005442839.

The spelling of 66824832 in words is "sixty-six million, eight hundred twenty-four thousand, eight hundred thirty-two".