66222144 has 112 divisors (see below), whose sum is σ = 205028800. Its totient is φ = 20901888.

The previous prime is 66222133. The next prime is 66222199. The reversal of 66222144 is 44122266.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31824 + ... + 33840.

Almost surely, 2^66222144 is an apocalyptic number.

66222144 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 66222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102514400).

66222144 is an abundant number, since it is smaller than the sum of its proper divisors (138806656).

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

66222144 is a wasteful number, since it uses less digits than its factorization.

66222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2041 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 66222144 is about 8137.6989376604. The cubic root of 66222144 is about 404.5768969590.

It can be divided in two parts, 66222 and 144, that added together give a palindrome (66366).

The spelling of 66222144 in words is "sixty-six million, two hundred twenty-two thousand, one hundred forty-four".