10082670 has 64 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2448000.

The previous prime is 10082663. The next prime is 10082707. The reversal of 10082670 is 7628001.

It is a self number, because there is not a number n which added to its sum of digits gives 10082670.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40045 + ... + 40295.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^10082670 is an apocalyptic number.

10082670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

10082670 is an abundant number, since it is smaller than the sum of its proper divisors (16334994).

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

10082670 is a wasteful number, since it uses less digits than its factorization.

10082670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10082670 is about 3175.3220309128. The cubic root of 10082670 is about 216.0355308491.

The spelling of 10082670 in words is "ten million, eighty-two thousand, six hundred seventy".