10609824 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3290112.

The previous prime is 10609817. The next prime is 10609849. The reversal of 10609824 is 42890601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10609824² = 225136730621952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10609791 and 10609800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102957 + ... + 103059.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^10609824 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 10609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

10609824 is an abundant number, since it is smaller than the sum of its proper divisors (19267296).

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

10609824 is a wasteful number, since it uses less digits than its factorization.

10609824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10609824 is about 3257.2724786238. The cubic root of 10609824 is about 219.7367650489.

It can be divided in two parts, 10609 and 824, that multiplied together give a cube (8741816 = 206³).

The spelling of 10609824 in words is "ten million, six hundred nine thousand, eight hundred twenty-four".