10716768 has 72 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3532032.

The previous prime is 10716737. The next prime is 10716773. The reversal of 10716768 is 86761701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10716768² = 229698232731648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36430 + ... + 36722.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 2^10716768 is an apocalyptic number.

10716768 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 10716768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10716768 is an abundant number, since it is smaller than the sum of its proper divisors (20103840).

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

10716768 is a wasteful number, since it uses less digits than its factorization.

10716768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10716768 is about 3273.6475069867. The cubic root of 10716768 is about 220.4725928883.

It can be divided in two parts, 1071 and 6768, that multiplied together give a triangular number (7248528 = T₃₈₀₇).

The spelling of 10716768 in words is "ten million, seven hundred sixteen thousand, seven hundred sixty-eight".