10793952 has 144 divisors (see below), whose sum is σ = 35033040. Its totient is φ = 3214080.

The previous prime is 10793941. The next prime is 10793953. The reversal of 10793952 is 25939701.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10793953) by changing a digit.

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, 348177 + ... + 348207.

It is an arithmetic number, because the mean of its divisors is an integer number (243285).

Almost surely, 2^10793952 is an apocalyptic number.

10793952 is a gapful number since it is divisible by the number (12) 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 10793952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516520).

10793952 is an abundant number, since it is smaller than the sum of its proper divisors (24239088).

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

10793952 is a wasteful number, since it uses less digits than its factorization.

10793952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10793952 is about 3285.4150422740. The cubic root of 10793952 is about 221.0006210612. Note that the first 3 decimals are identical.

The spelling of 10793952 in words is "ten million, seven hundred ninety-three thousand, nine hundred fifty-two".