10484960 has 48 divisors (see below), whose sum is σ = 26082000. Its totient is φ = 3972096.

The previous prime is 10484939. The next prime is 10484977. The reversal of 10484960 is 6948401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316 + ... + 4764.

It is an arithmetic number, because the mean of its divisors is an integer number (543375).

Almost surely, 2^10484960 is an apocalyptic number.

10484960 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 10484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041000).

10484960 is an abundant number, since it is smaller than the sum of its proper divisors (15597040).

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

10484960 is a wasteful number, since it uses less digits than its factorization.

10484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10484960 is about 3238.0487951851. The cubic root of 10484960 is about 218.8713547051.

The spelling of 10484960 in words is "ten million, four hundred eighty-four thousand, nine hundred sixty".