10489824 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3265920.

The previous prime is 10489823. The next prime is 10489837. The reversal of 10489824 is 42898401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10489824² = 220072815101952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147709 + ... + 147779.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^10489824 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 10489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10489824 is an abundant number, since it is smaller than the sum of its proper divisors (22532256).

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

10489824 is an equidigital number, since it uses as much as digits as its factorization.

10489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10489824 is about 3238.7997776954. The cubic root of 10489824 is about 218.9051944683.

The spelling of 10489824 in words is "ten million, four hundred eighty-nine thousand, eight hundred twenty-four".