10733120 has 56 divisors (see below), whose sum is σ = 27075384. Its totient is φ = 4038656.

The previous prime is 10733059. The next prime is 10733123. The reversal of 10733120 is 2133701.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 9684544 = 1024^2 + 3112^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10733123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4454 + ... + 6426.

It is an arithmetic number, because the mean of its divisors is an integer number (483489).

Almost surely, 2^10733120 is an apocalyptic number.

10733120 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 10733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537692).

10733120 is an abundant number, since it is smaller than the sum of its proper divisors (16342264).

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

10733120 is a wasteful number, since it uses less digits than its factorization.

10733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 10733120 is about 3276.1440749759. The cubic root of 10733120 is about 220.5846707014.

Adding to 10733120 its reverse (2133701), we get a palindrome (12866821).

The spelling of 10733120 in words is "ten million, seven hundred thirty-three thousand, one hundred twenty".