9944640 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 2649600.

The previous prime is 9944629. The next prime is 9944663. The reversal of 9944640 is 464499.

9944640 is a `hidden beast` number, since 9 + 9 + 4 + 4 + 640 = 666.

9944640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 9944595 and 9944604.

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, 8065 + ... + 9215.

Almost surely, 2^9944640 is an apocalyptic number.

9944640 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 9944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

9944640 is an abundant number, since it is smaller than the sum of its proper divisors (25168320).

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

9944640 is a wasteful number, since it uses less digits than its factorization.

9944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9944640 is about 3153.5123275484. The cubic root of 9944640 is about 215.0451680837.

The spelling of 9944640 in words is "nine million, nine hundred forty-four thousand, six hundred forty".