10033320 has 96 divisors (see below), whose sum is σ = 33132960. Its totient is φ = 2428800.

The previous prime is 10033297. The next prime is 10033321. The reversal of 10033320 is 2333001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10033296 and 10033305.

It is not an unprimeable number, because it can be changed into a prime (10033321) 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, 14175 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (345135).

Almost surely, 2^10033320 is an apocalyptic number.

10033320 is a gapful number since it is divisible by the number (10) 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 10033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566480).

10033320 is an abundant number, since it is smaller than the sum of its proper divisors (23099640).

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

10033320 is a wasteful number, since it uses less digits than its factorization.

10033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 10033320 is about 3167.5416335070. The cubic root of 10033320 is about 215.6824896068.

Adding to 10033320 its reverse (2333001), we get a palindrome (12366321).

The spelling of 10033320 in words is "ten million, thirty-three thousand, three hundred twenty".