10535688 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3306240.

The previous prime is 10535687. The next prime is 10535717. The reversal of 10535688 is 88653501.

It is a super-2 number, since 2×10535688² = 222001443266688, 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 (10535687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126895 + ... + 126977.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^10535688 is an apocalyptic number.

10535688 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 10535688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10535688 is an abundant number, since it is smaller than the sum of its proper divisors (19734552).

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

10535688 is a wasteful number, since it uses less digits than its factorization.

10535688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 10535688 is about 3245.8724559046. The cubic root of 10535688 is about 219.2237657824.

The spelling of 10535688 in words is "ten million, five hundred thirty-five thousand, six hundred eighty-eight".