10706688 has 72 divisors (see below), whose sum is σ = 31682000. Its totient is φ = 3566592.

The previous prime is 10706681. The next prime is 10706701. The reversal of 10706688 is 88660701.

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

It is a super-2 number, since 2×10706688² = 229266335858688, 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 not an unprimeable number, because it can be changed into a prime (10706681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6138 + ... + 7686.

Almost surely, 2^10706688 is an apocalyptic number.

10706688 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 10706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841000).

10706688 is an abundant number, since it is smaller than the sum of its proper divisors (20975312).

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

10706688 is an equidigital number, since it uses as much as digits as its factorization.

10706688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 10706688 is about 3272.1075776936. The cubic root of 10706688 is about 220.4034470142.

The spelling of 10706688 in words is "ten million, seven hundred six thousand, six hundred eighty-eight".