10689536 has 88 divisors (see below), whose sum is σ = 25448304. Its totient is φ = 4423680.

The previous prime is 10689527. The next prime is 10689551. The reversal of 10689536 is 63598601.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×10689536² = 228532359790592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10689536.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146396 + ... + 146468.

Almost surely, 2^10689536 is an apocalyptic number.

10689536 is a gapful number since it is divisible by the number (16) 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 10689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724152).

10689536 is an abundant number, since it is smaller than the sum of its proper divisors (14758768).

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

10689536 is a wasteful number, since it uses less digits than its factorization.

10689536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 10689536 is about 3269.4855864493. The cubic root of 10689536 is about 220.2856894525.

The spelling of 10689536 in words is "ten million, six hundred eighty-nine thousand, five hundred thirty-six".