8876448 has 216 divisors, whose sum is σ = 31931172. Its totient is φ = 2322432.

The previous prime is 8876443. The next prime is 8876449. The reversal of 8876448 is 8446788.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 1192464 = 2772^2 + 1092^2 .

It is a super-3 number, since 3×8876448³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (344064) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (8876443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239886 + ... + 239922.

Almost surely, 2^8876448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8876448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965586).

8876448 is an abundant number, since it is smaller than the sum of its proper divisors (23054724).

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

8876448 is a wasteful number, since it uses less digits than its factorization.

8876448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8876448 is about 2979.3368389627. The cubic root of 8876448 is about 207.0521467726.

The spelling of 8876448 in words is "eight million, eight hundred seventy-six thousand, four hundred forty-eight".