10082064 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 3179520.

The previous prime is 10082057. The next prime is 10082077. The reversal of 10082064 is 46028001.

It is a self number, because there is not a number n which added to its sum of digits gives 10082064.

It is an unprimeable number.

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, 92442 + ... + 92550.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^10082064 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 10082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

10082064 is an abundant number, since it is smaller than the sum of its proper divisors (17416176).

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

10082064 is a wasteful number, since it uses less digits than its factorization.

10082064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10082064 is about 3175.2266060866. The cubic root of 10082064 is about 216.0312026254.

The spelling of 10082064 in words is "ten million, eighty-two thousand, sixty-four".