10065984 has 56 divisors (see below), whose sum is σ = 26944320. Its totient is φ = 3316224.

The previous prime is 10065983. The next prime is 10066003. The reversal of 10065984 is 48956001.

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 a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10065983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19522 + ... + 20030.

Almost surely, 2^10065984 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 10065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160).

10065984 is an abundant number, since it is smaller than the sum of its proper divisors (16878336).

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

10065984 is a wasteful number, since it uses less digits than its factorization.

10065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10065984 is about 3172.6934929173. The cubic root of 10065984 is about 215.9162912948.

The spelling of 10065984 in words is "ten million, sixty-five thousand, nine hundred eighty-four".