10589936 has 40 divisors (see below), whose sum is σ = 24474624. Its totient is φ = 4340160.

The previous prime is 10589933. The next prime is 10589939. The reversal of 10589936 is 63998501.

It is an interprime number because it is at equal distance from previous prime (10589933) and next prime (10589939).

It is a super-2 number, since 2×10589936² = 224293488968192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10589893 and 10589902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10589933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 4631.

Almost surely, 2^10589936 is an apocalyptic number.

10589936 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 10589936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237312).

10589936 is an abundant number, since it is smaller than the sum of its proper divisors (13884688).

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

10589936 is a wasteful number, since it uses less digits than its factorization.

10589936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 10589936 is about 3254.2181856784. The cubic root of 10589936 is about 219.5993811107.

The spelling of 10589936 in words is "ten million, five hundred eighty-nine thousand, nine hundred thirty-six".