9864720 has 80 divisors (see below), whose sum is σ = 33985920. Its totient is φ = 2630016.

The previous prime is 9864719. The next prime is 9864721. The reversal of 9864720 is 274689.

9864720 is a `hidden beast` number, since 9 + 8 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9864719) and next prime (9864721).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (9864721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (424824).

Almost surely, 2^9864720 is an apocalyptic number.

9864720 is a gapful number since it is divisible by the number (90) 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 9864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992960).

9864720 is an abundant number, since it is smaller than the sum of its proper divisors (24121200).

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

9864720 is a wasteful number, since it uses less digits than its factorization.

9864720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9864720 is about 3140.8151808090. The cubic root of 9864720 is about 214.4675485163.

The spelling of 9864720 in words is "nine million, eight hundred sixty-four thousand, seven hundred twenty".