10384960 has 112 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 3694592.

The previous prime is 10384949. The next prime is 10384961. The reversal of 10384960 is 6948301.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10384961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125079 + ... + 125161.

It is an arithmetic number, because the mean of its divisors is an integer number (246888).

Almost surely, 2^10384960 is an apocalyptic number.

10384960 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 10384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

10384960 is an abundant number, since it is smaller than the sum of its proper divisors (17266496).

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

10384960 is a wasteful number, since it uses less digits than its factorization.

10384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10384960 is about 3222.5704026444. The cubic root of 10384960 is about 218.1733043816.

The spelling of 10384960 in words is "ten million, three hundred eighty-four thousand, nine hundred sixty".