10687968 has 144 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 3207168.

The previous prime is 10687967. The next prime is 10687987. The reversal of 10687968 is 86978601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10687968² = 228465319938048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181123 + ... + 181181.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^10687968 is an apocalyptic number.

10687968 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 10687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

10687968 is an abundant number, since it is smaller than the sum of its proper divisors (22923792).

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

10687968 is a wasteful number, since it uses less digits than its factorization.

10687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 10687968 is about 3269.2457845809. The cubic root of 10687968 is about 220.2749180198.

The spelling of 10687968 in words is "ten million, six hundred eighty-seven thousand, nine hundred sixty-eight".