10993968 has 100 divisors (see below), whose sum is σ = 33759000. Its totient is φ = 3442176.

The previous prime is 10993967. The next prime is 10993973. The reversal of 10993968 is 86939901.

It is not an unprimeable number, because it can be changed into a prime (10993967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21783 + ... + 22281.

It is an arithmetic number, because the mean of its divisors is an integer number (337590).

Almost surely, 2^10993968 is an apocalyptic number.

10993968 is a gapful number since it is divisible by the number (18) 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 10993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879500).

10993968 is an abundant number, since it is smaller than the sum of its proper divisors (22765032).

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

10993968 is a wasteful number, since it uses less digits than its factorization.

10993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 10993968 is about 3315.7153074412. The cubic root of 10993968 is about 222.3573499637.

The spelling of 10993968 in words is "ten million, nine hundred ninety-three thousand, nine hundred sixty-eight".