10709712 has 80 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 3293568.

The previous prime is 10709707. The next prime is 10709717. The reversal of 10709712 is 21790701.

It is an interprime number because it is at equal distance from previous prime (10709707) and next prime (10709717).

It is a super-2 number, since 2×10709712² = 229395862245888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10709717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4663 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (414036).

Almost surely, 2^10709712 is an apocalyptic number.

10709712 is a gapful number since it is divisible by the number (12) 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 10709712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

10709712 is an abundant number, since it is smaller than the sum of its proper divisors (22413168).

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

10709712 is a wasteful number, since it uses less digits than its factorization.

10709712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10709712 is about 3272.5696325670. The cubic root of 10709712 is about 220.4241953317.

The spelling of 10709712 in words is "ten million, seven hundred nine thousand, seven hundred twelve".