44221968 has 120 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 11964672.

The previous prime is 44221967. The next prime is 44221973. The reversal of 44221968 is 86912244.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (44221963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17998 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^44221968 is an apocalyptic number.

44221968 is a gapful number since it is divisible by the number (48) 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 44221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

44221968 is an abundant number, since it is smaller than the sum of its proper divisors (104726832).

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

44221968 is a wasteful number, since it uses less digits than its factorization.

44221968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2340 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 44221968 is about 6649.9599998797. The cubic root of 44221968 is about 353.6274928631.

The spelling of 44221968 in words is "forty-four million, two hundred twenty-one thousand, nine hundred sixty-eight".