10082304 has 72 divisors (see below), whose sum is σ = 29172780. Its totient is φ = 3354624.

The previous prime is 10082287. The next prime is 10082311. The reversal of 10082304 is 40328001.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18159 + ... + 18705.

Almost surely, 2^10082304 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 10082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586390).

10082304 is an abundant number, since it is smaller than the sum of its proper divisors (19090476).

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

10082304 is an equidigital number, since it uses as much as digits as its factorization.

10082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10082304 is about 3175.2643984399. The cubic root of 10082304 is about 216.0329167942.

The spelling of 10082304 in words is "ten million, eighty-two thousand, three hundred four".