9882720 has 72 divisors (see below), whose sum is σ = 33729696. Its totient is φ = 2635008.

The previous prime is 9882683. The next prime is 9882731. The reversal of 9882720 is 272889.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (468468).

Almost surely, 2^9882720 is an apocalyptic number.

9882720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9882720 is an abundant number, since it is smaller than the sum of its proper divisors (23846976).

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

9882720 is a wasteful number, since it uses less digits than its factorization.

9882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9882720 is about 3143.6793729641. The cubic root of 9882720 is about 214.5979144479.

The spelling of 9882720 in words is "nine million, eight hundred eighty-two thousand, seven hundred twenty".