10921968 has 60 divisors (see below), whose sum is σ = 31014880. Its totient is φ = 3587328.

The previous prime is 10921961. The next prime is 10921969. The reversal of 10921968 is 86912901.

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 (10921961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9993 + ... + 11031.

Almost surely, 2^10921968 is an apocalyptic number.

10921968 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 10921968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507440).

10921968 is an abundant number, since it is smaller than the sum of its proper divisors (20092912).

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

10921968 is a wasteful number, since it uses less digits than its factorization.

10921968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10921968 is about 3304.8400869028. The cubic root of 10921968 is about 221.8708769451.

The spelling of 10921968 in words is "ten million, nine hundred twenty-one thousand, nine hundred sixty-eight".