8880144 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2198016.

The previous prime is 8880143. The next prime is 8880161. The reversal of 8880144 is 4410888.

8880144 = T₉₀ + T₉₁ + ... + T₃₇₇.

It is not an unprimeable number, because it can be changed into a prime (8880143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82939 + ... + 83045.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^8880144 is an apocalyptic number.

8880144 is a gapful number since it is divisible by the number (84) 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 8880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

8880144 is an abundant number, since it is smaller than the sum of its proper divisors (21117936).

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

8880144 is a wasteful number, since it uses less digits than its factorization.

8880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 8880144 is about 2979.9570466703. The cubic root of 8880144 is about 207.0808804337.

The spelling of 8880144 in words is "eight million, eight hundred eighty thousand, one hundred forty-four".