10482960 has 80 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 2703360.

The previous prime is 10482947. The next prime is 10482971. The reversal of 10482960 is 6928401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6736 + ... + 8144.

It is an arithmetic number, because the mean of its divisors is an integer number (419616).

Almost surely, 2^10482960 is an apocalyptic number.

10482960 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 10482960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784640).

10482960 is an abundant number, since it is smaller than the sum of its proper divisors (23086320).

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

10482960 is a wasteful number, since it uses less digits than its factorization.

10482960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10482960 is about 3237.7399524977. The cubic root of 10482960 is about 218.8574372924.

The spelling of 10482960 in words is "ten million, four hundred eighty-two thousand, nine hundred sixty".