9487920 has 80 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 2334720.

The previous prime is 9487913. The next prime is 9487939. The reversal of 9487920 is 297849.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1600 + ... + 4640.

Almost surely, 2^9487920 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 9487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

9487920 is an abundant number, since it is smaller than the sum of its proper divisors (22197552).

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

9487920 is a wasteful number, since it uses less digits than its factorization.

9487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 9487920 is about 3080.2467433633. The cubic root of 9487920 is about 211.7013714012.

The spelling of 9487920 in words is "nine million, four hundred eighty-seven thousand, nine hundred twenty".