44115680 has 144 divisors (see below), whose sum is σ = 128758896. Its totient is φ = 14192640.

The previous prime is 44115677. The next prime is 44115703. The reversal of 44115680 is 8651144.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 133115 + ... + 133445.

It is an arithmetic number, because the mean of its divisors is an integer number (894159).

Almost surely, 2^44115680 is an apocalyptic number.

44115680 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 44115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64379448).

44115680 is an abundant number, since it is smaller than the sum of its proper divisors (84643216).

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

44115680 is a wasteful number, since it uses less digits than its factorization.

44115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 44115680 is about 6641.9635650913. The cubic root of 44115680 is about 353.3439496830.

The spelling of 44115680 in words is "forty-four million, one hundred fifteen thousand, six hundred eighty".