10688384 has 64 divisors (see below), whose sum is σ = 24806400. Its totient is φ = 4492800.

The previous prime is 10688383. The next prime is 10688401. The reversal of 10688384 is 48388601.

10688384 = 63² + 64² + ... + 318².

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10688384² = 228483105062912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688383) 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, 70709 + ... + 70859.

It is an arithmetic number, because the mean of its divisors is an integer number (387600).

Almost surely, 2^10688384 is an apocalyptic number.

10688384 is a gapful number since it is divisible by the number (14) 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 10688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403200).

10688384 is an abundant number, since it is smaller than the sum of its proper divisors (14118016).

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

10688384 is an equidigital number, since it uses as much as digits as its factorization.

10688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 10688384 is about 3269.3094071990. The cubic root of 10688384 is about 220.2777758495.

The spelling of 10688384 in words is "ten million, six hundred eighty-eight thousand, three hundred eighty-four".