8917920 has 144 divisors (see below), whose sum is σ = 33257952. Its totient is φ = 2158080.

The previous prime is 8917913. The next prime is 8917927. The reversal of 8917920 is 297198.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8917913) and next prime (8917927).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8917927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15559 + ... + 16121.

It is an arithmetic number, because the mean of its divisors is an integer number (230958).

Almost surely, 2^8917920 is an apocalyptic number.

8917920 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 8917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628976).

8917920 is an abundant number, since it is smaller than the sum of its proper divisors (24340032).

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

8917920 is a wasteful number, since it uses less digits than its factorization.

8917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8917920 is about 2986.2886665559. The cubic root of 8917920 is about 207.3741046933.

The spelling of 8917920 in words is "eight million, nine hundred seventeen thousand, nine hundred twenty".