44055680 has 64 divisors (see below), whose sum is σ = 110894400. Its totient is φ = 16690176.

The previous prime is 44055647. The next prime is 44055703. The reversal of 44055680 is 8655044.

44055680 = T₄₅₄ + T₄₅₅ + ... + T₇₀₉.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10349 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (1732725).

Almost surely, 2^44055680 is an apocalyptic number.

44055680 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 44055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55447200).

44055680 is an abundant number, since it is smaller than the sum of its proper divisors (66838720).

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

44055680 is a wasteful number, since it uses less digits than its factorization.

44055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 44055680 is about 6637.4452916766. The cubic root of 44055680 is about 353.1836872726.

The spelling of 44055680 in words is "forty-four million, fifty-five thousand, six hundred eighty".