10331424 has 72 divisors (see below), whose sum is σ = 30417660. Its totient is φ = 3322368.

The previous prime is 10331413. The next prime is 10331437. The reversal of 10331424 is 42413301.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 219024 = 3180^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10331397 and 10331406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7734 + ... + 8970.

Almost surely, 2^10331424 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 10331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208830).

10331424 is an abundant number, since it is smaller than the sum of its proper divisors (20086236).

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

10331424 is a wasteful number, since it uses less digits than its factorization.

10331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10331424 is about 3214.2532569790. The cubic root of 10331424 is about 217.7977531155.

Adding to 10331424 its reverse (42413301), we get a palindrome (52744725).

The spelling of 10331424 in words is "ten million, three hundred thirty-one thousand, four hundred twenty-four".