10185984 has 54 divisors (see below), whose sum is σ = 29375346. Its totient is φ = 3394560.

The previous prime is 10185983. The next prime is 10185991. The reversal of 10185984 is 48958101.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 451584 = 3120^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 4514.

Almost surely, 2^10185984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687673).

10185984 is an abundant number, since it is smaller than the sum of its proper divisors (19189362).

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

10185984 is an equidigital number, since it uses as much as digits as its factorization.

10185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 10185984 is about 3191.5488402968. The cubic root of 10185984 is about 216.7709078940.

The spelling of 10185984 in words is "ten million, one hundred eighty-five thousand, nine hundred eighty-four".