10082592 has 72 divisors (see below), whose sum is σ = 30889404. Its totient is φ = 3101184.

The previous prime is 10082557. The next prime is 10082599. The reversal of 10082592 is 29528001.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 571536 = 3084^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10082592² = 203317322876928, which contains 22 as substring.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2398 + ... + 5090.

Almost surely, 2^10082592 is an apocalyptic number.

10082592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444702).

10082592 is an abundant number, since it is smaller than the sum of its proper divisors (20806812).

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

10082592 is a wasteful number, since it uses less digits than its factorization.

10082592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10082592 is about 3175.3097486702. The cubic root of 10082592 is about 216.0349737608.

It can be divided in two parts, 1008 and 2592, that added together give a square (3600 = 60²).

The spelling of 10082592 in words is "ten million, eighty-two thousand, five hundred ninety-two".