10968032 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 5171712.

The previous prime is 10968029. The next prime is 10968047. The reversal of 10968032 is 23086901.

It is a super-3 number, since 3×10968032³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 10967986 and 10968004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49073 + ... + 49295.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^10968032 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 10968032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10968032 is an abundant number, since it is smaller than the sum of its proper divisors (11893408).

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

10968032 is a wasteful number, since it uses less digits than its factorization.

10968032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10968032 is about 3311.8019264443. The cubic root of 10968032 is about 222.1823569970.

The spelling of 10968032 in words is "ten million, nine hundred sixty-eight thousand, thirty-two".