10411968 has 112 divisors (see below), whose sum is σ = 32251904. Its totient is φ = 2903040.

The previous prime is 10411967. The next prime is 10411979. The reversal of 10411968 is 86911401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81921 + ... + 82047.

Almost surely, 2^10411968 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 10411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125952).

10411968 is an abundant number, since it is smaller than the sum of its proper divisors (21839936).

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

10411968 is a wasteful number, since it uses less digits than its factorization.

10411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 10411968 is about 3226.7581254256. The cubic root of 10411968 is about 218.3622739382.

The spelling of 10411968 in words is "ten million, four hundred eleven thousand, nine hundred sixty-eight".