9956640 has 48 divisors (see below), whose sum is σ = 31364928. Its totient is φ = 2654976.

The previous prime is 9956623. The next prime is 9956641. The reversal of 9956640 is 466599.

9956640 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 tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9956641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9892 + ... + 10851.

It is an arithmetic number, because the mean of its divisors is an integer number (653436).

Almost surely, 2^9956640 is an apocalyptic number.

It is an amenable number.

9956640 is an abundant number, since it is smaller than the sum of its proper divisors (21408288).

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

9956640 is a wasteful number, since it uses less digits than its factorization.

9956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761 (or 20753 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 9956640 is about 3155.4143943387. The cubic root of 9956640 is about 215.1316302298.

The spelling of 9956640 in words is "nine million, nine hundred fifty-six thousand, six hundred forty".