10485384 has 64 divisors (see below), whose sum is σ = 32269440. Its totient is φ = 2764800.

The previous prime is 10485373. The next prime is 10485389. The reversal of 10485384 is 48358401.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10485389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (504210).

Almost surely, 2^10485384 is an apocalyptic number.

10485384 is a gapful number since it is divisible by the number (14) 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 10485384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134720).

10485384 is an abundant number, since it is smaller than the sum of its proper divisors (21784056).

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

10485384 is a wasteful number, since it uses less digits than its factorization.

10485384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 10485384 is about 3238.1142660505. The cubic root of 10485384 is about 218.8743049692.

The spelling of 10485384 in words is "ten million, four hundred eighty-five thousand, three hundred eighty-four".