10538968 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4435200.

The previous prime is 10538959. The next prime is 10538971. The reversal of 10538968 is 86983501.

It is a happy number.

10538968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10538968² = 222139693010048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10538968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82921 + ... + 83047.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^10538968 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 10538968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10538968 is an abundant number, since it is smaller than the sum of its proper divisors (12685352).

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

10538968 is a wasteful number, since it uses less digits than its factorization.

10538968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 10538968 is about 3246.3776736541. The cubic root of 10538968 is about 219.2465132083.

The spelling of 10538968 in words is "ten million, five hundred thirty-eight thousand, nine hundred sixty-eight".