10126688 has 48 divisors (see below), whose sum is σ = 23432976. Its totient is φ = 4247040.

The previous prime is 10126673. The next prime is 10126691. The reversal of 10126688 is 88662101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3470 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (488187).

Almost surely, 2^10126688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716488).

10126688 is an abundant number, since it is smaller than the sum of its proper divisors (13306288).

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

10126688 is a wasteful number, since it uses less digits than its factorization.

10126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10126688 is about 3182.2457478957. The cubic root of 10126688 is about 216.3494571856.

Adding to 10126688 its reverse (88662101), we get a palindrome (98788789).

The spelling of 10126688 in words is "ten million, one hundred twenty-six thousand, six hundred eighty-eight".