10589696 has 80 divisors (see below), whose sum is σ = 23946384. Its totient is φ = 4644864.

The previous prime is 10589633. The next prime is 10589699. The reversal of 10589696 is 69698501.

It is a super-2 number, since 2×10589696² = 224283322744832, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10589696 = 80³ + 216³ = 152³ + 192³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10589699) 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 7 ways as a sum of consecutive naturals, for example, 246251 + ... + 246293.

Almost surely, 2^10589696 is an apocalyptic number.

10589696 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 10589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973192).

10589696 is an abundant number, since it is smaller than the sum of its proper divisors (13356688).

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

10589696 is an equidigital number, since it uses as much as digits as its factorization.

10589696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 10589696 is about 3254.1813102530. The cubic root of 10589696 is about 219.5977221693.

The spelling of 10589696 in words is "ten million, five hundred eighty-nine thousand, six hundred ninety-six".