8887920 has 80 divisors (see below), whose sum is σ = 28524960. Its totient is φ = 2286592.

The previous prime is 8887919. The next prime is 8887961. The reversal of 8887920 is 297888.

It is a happy number.

8887920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6322 + ... + 7598.

It is an arithmetic number, because the mean of its divisors is an integer number (356562).

Almost surely, 2^8887920 is an apocalyptic number.

8887920 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 8887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262480).

8887920 is an abundant number, since it is smaller than the sum of its proper divisors (19637040).

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

8887920 is a wasteful number, since it uses less digits than its factorization.

8887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 8887920 is about 2981.2614779653. The cubic root of 8887920 is about 207.1413070492.

The spelling of 8887920 in words is "eight million, eight hundred eighty-seven thousand, nine hundred twenty".