66484224 has 72 divisors (see below), whose sum is σ = 192071880. Its totient is φ = 22155264.

The previous prime is 66484219. The next prime is 66484241. The reversal of 66484224 is 42248466.

It is a happy number.

66484224 is a `hidden beast` number, since 6 + 648 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16629 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (2667665).

Almost surely, 2^66484224 is an apocalyptic number.

66484224 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 66484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96035940).

66484224 is an abundant number, since it is smaller than the sum of its proper divisors (125587656).

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

66484224 is a wasteful number, since it uses less digits than its factorization.

66484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3612 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 66484224 is about 8153.7858691531. The cubic root of 66484224 is about 405.1099107271.

The spelling of 66484224 in words is "sixty-six million, four hundred eighty-four thousand, two hundred twenty-four".