10196640 has 144 divisors (see below), whose sum is σ = 35636328. Its totient is φ = 2654208.

The previous prime is 10196629. The next prime is 10196671. The reversal of 10196640 is 4669101.

10196640 is a `hidden beast` number, since 1 + 0 + 19 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 1971216 = 2868^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105072 + ... + 105168.

Almost surely, 2^10196640 is an apocalyptic number.

10196640 is a gapful number since it is divisible by the number (10) 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 10196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818164).

10196640 is an abundant number, since it is smaller than the sum of its proper divisors (25439688).

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

10196640 is a wasteful number, since it uses less digits than its factorization.

10196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10196640 is about 3193.2178128026. The cubic root of 10196640 is about 216.8464727016.

The spelling of 10196640 in words is "ten million, one hundred ninety-six thousand, six hundred forty".