8841600 has 144 divisors (see below), whose sum is σ = 31651620. Its totient is φ = 2350080.

The previous prime is 8841529. The next prime is 8841629. The reversal of 8841600 is 61488.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×8841600⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28647 + ... + 28953.

Almost surely, 2^8841600 is an apocalyptic number.

8841600 is a gapful number since it is divisible by the number (80) 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 8841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825810).

8841600 is an abundant number, since it is smaller than the sum of its proper divisors (22810020).

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

8841600 is a wasteful number, since it uses less digits than its factorization.

8841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8841600 is about 2973.4828064073. The cubic root of 8841600 is about 206.7808364430.

The spelling of 8841600 in words is "eight million, eight hundred forty-one thousand, six hundred".