10082688 has 192 divisors, whose sum is σ = 34728960. Its totient is φ = 2534400.

The previous prime is 10082663. The next prime is 10082707. The reversal of 10082688 is 88628001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325233 + ... + 325263.

It is an arithmetic number, because the mean of its divisors is an integer number (180880).

Almost surely, 2^10082688 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 10082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364480).

10082688 is an abundant number, since it is smaller than the sum of its proper divisors (24646272).

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

10082688 is a wasteful number, since it uses less digits than its factorization.

10082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 10082688 is about 3175.3248652697. The cubic root of 10082688 is about 216.0356594076.

The spelling of 10082688 in words is "ten million, eighty-two thousand, six hundred eighty-eight".