66136224 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 16389120.

The previous prime is 66136219. The next prime is 66136289. The reversal of 66136224 is 42263166.

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

It is a junction number, because it is equal to n+sod(n) for n = 66136191 and 66136200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169822 + ... + 170210.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^66136224 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 66136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

66136224 is an abundant number, since it is smaller than the sum of its proper divisors (160300896).

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

66136224 is a wasteful number, since it uses less digits than its factorization.

66136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 66136224 is about 8132.4180905804. The cubic root of 66136224 is about 404.4018483050.

The spelling of 66136224 in words is "sixty-six million, one hundred thirty-six thousand, two hundred twenty-four".