10332960 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2350080.

The previous prime is 10332947. The next prime is 10332983. The reversal of 10332960 is 6923301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10332960.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100269 + ... + 100371.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^10332960 is an apocalyptic number.

10332960 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 10332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10332960 is an abundant number, since it is smaller than the sum of its proper divisors (27406560).

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

10332960 is a wasteful number, since it uses less digits than its factorization.

10332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 10332960 is about 3214.4921838449. The cubic root of 10332960 is about 217.8085461024.

It can be divided in two parts, 1033 and 2960, that added together give a palindrome (3993).

The spelling of 10332960 in words is "ten million, three hundred thirty-two thousand, nine hundred sixty".