10082590 has 16 divisors (see below), whose sum is σ = 20741472. Its totient is φ = 3456864.

The previous prime is 10082557. The next prime is 10082599. The reversal of 10082590 is 9528001.

It is a super-2 number, since 2×10082590² = 203317242216200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71949 + ... + 72088.

It is an arithmetic number, because the mean of its divisors is an integer number (1296342).

Almost surely, 2^10082590 is an apocalyptic number.

10082590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10082590 is an abundant number, since it is smaller than the sum of its proper divisors (10658882).

10082590 is a wasteful number, since it uses less digits than its factorization.

10082590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144051.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10082590 is about 3175.3094337403. The cubic root of 10082590 is about 216.0349594764.

The spelling of 10082590 in words is "ten million, eighty-two thousand, five hundred ninety".