9649640 has 128 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 2764800.

The previous prime is 9649639. The next prime is 9649667. The reversal of 9649640 is 469469.

9649640 = T₇₂₅ + T₇₂₆ + ... + T₇₅₉.

It is a junction number, because it is equal to n+sod(n) for n = 9649594 and 9649603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39920 + ... + 40160.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^9649640 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 9649640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

9649640 is an abundant number, since it is smaller than the sum of its proper divisors (19622680).

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

9649640 is a wasteful number, since it uses less digits than its factorization.

9649640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9649640 is about 3106.3869688112. The cubic root of 9649640 is about 212.8974062708.

The spelling of 9649640 in words is "nine million, six hundred forty-nine thousand, six hundred forty".