10859424 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3379200.

The previous prime is 10859423. The next prime is 10859437. The reversal of 10859424 is 42495801.

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

It is a super-2 number, since 2×10859424² = 235854179223552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10859423) 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 15 ways as a sum of consecutive naturals, for example, 121972 + ... + 122060.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^10859424 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 10859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10859424 is an abundant number, since it is smaller than the sum of its proper divisors (19622496).

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

10859424 is a wasteful number, since it uses less digits than its factorization.

10859424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10859424 is about 3295.3640163114. The cubic root of 10859424 is about 221.4465558357.

The spelling of 10859424 in words is "ten million, eight hundred fifty-nine thousand, four hundred twenty-four".