10193964 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 2981440.

The previous prime is 10193959. The next prime is 10194001. The reversal of 10193964 is 46939101.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 2497 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^10193964 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 10193964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10193964 is an abundant number, since it is smaller than the sum of its proper divisors (16659156).

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

10193964 is a wasteful number, since it uses less digits than its factorization.

10193964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 10193964 is about 3192.7987722373. The cubic root of 10193964 is about 216.8275013564.

The spelling of 10193964 in words is "ten million, one hundred ninety-three thousand, nine hundred sixty-four".