10814688 has 48 divisors (see below), whose sum is σ = 31545360. Its totient is φ = 3604608.

The previous prime is 10814681. The next prime is 10814701. The reversal of 10814688 is 88641801.

It is a tau number, because it is divible by the number of its divisors (48).

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 (10814681) 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, 5395 + ... + 7122.

It is an arithmetic number, because the mean of its divisors is an integer number (657195).

Almost surely, 2^10814688 is an apocalyptic number.

10814688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10814688 is an abundant number, since it is smaller than the sum of its proper divisors (20730672).

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

10814688 is a wasteful number, since it uses less digits than its factorization.

10814688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10814688 is about 3288.5692937811. The cubic root of 10814688 is about 221.1420501829.

The spelling of 10814688 in words is "ten million, eight hundred fourteen thousand, six hundred eighty-eight".