66045824 has 64 divisors (see below), whose sum is σ = 149226000. Its totient is φ = 28864512.

The previous prime is 66045823. The next prime is 66045829. The reversal of 66045824 is 42854066.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66045823) 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, 30572 + ... + 32660.

Almost surely, 2^66045824 is an apocalyptic number.

66045824 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 66045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74613000).

66045824 is an abundant number, since it is smaller than the sum of its proper divisors (83180176).

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

66045824 is a wasteful number, since it uses less digits than its factorization.

66045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 66045824 is about 8126.8581875163. The cubic root of 66045824 is about 404.2175085980.

The spelling of 66045824 in words is "sixty-six million, forty-five thousand, eight hundred twenty-four".