44068800 has 84 divisors (see below), whose sum is σ = 144598136. Its totient is φ = 11750400.

The previous prime is 44068799. The next prime is 44068841. The reversal of 44068800 is 886044.

44068800 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 210 + ... + 9390.

Almost surely, 2^44068800 is an apocalyptic number.

44068800 is a gapful number since it is divisible by the number (40) 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 44068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72299068).

44068800 is an abundant number, since it is smaller than the sum of its proper divisors (100529336).

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

44068800 is a wasteful number, since it uses less digits than its factorization.

44068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 44068800 is about 6638.4335501683. The cubic root of 44068800 is about 353.2187437441.

The spelling of 44068800 in words is "forty-four million, sixty-eight thousand, eight hundred".