9863964 has 144 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2708640.

The previous prime is 9863951. The next prime is 9864007. The reversal of 9863964 is 4693689.

9863964 is a `hidden beast` number, since 9 + 8 + 639 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428857 + ... + 428879.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 2^9863964 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 9863964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

9863964 is an abundant number, since it is smaller than the sum of its proper divisors (20859876).

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

9863964 is a wasteful number, since it uses less digits than its factorization.

9863964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9863964 is about 3140.6948275819. The cubic root of 9863964 is about 214.4620696783.

It can be divided in two parts, 986 and 3964, that added together give a triangular number (4950 = T₉₉).

The spelling of 9863964 in words is "nine million, eight hundred sixty-three thousand, nine hundred sixty-four".