44106920 has 96 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 14784000.

The previous prime is 44106913. The next prime is 44106943. The reversal of 44106920 is 2960144.

It can be written as a sum of positive squares in 4 ways, for example, as 35545444 + 8561476 = 5962^2 + 2926^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 44106920.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62570 + ... + 63270.

Almost surely, 2^44106920 is an apocalyptic number.

44106920 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 44106920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

44106920 is an abundant number, since it is smaller than the sum of its proper divisors (73534240).

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

44106920 is a wasteful number, since it uses less digits than its factorization.

44106920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 44106920 is about 6641.3040888067. The cubic root of 44106920 is about 353.3205604338.

The spelling of 44106920 in words is "forty-four million, one hundred six thousand, nine hundred twenty".