10082400 has 72 divisors (see below), whose sum is σ = 32826024. Its totient is φ = 2688000.

The previous prime is 10082399. The next prime is 10082417. The reversal of 10082400 is 428001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10082400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (455917).

Almost surely, 2^10082400 is an apocalyptic number.

10082400 is a gapful number since it is divisible by the number (10) 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 10082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413012).

10082400 is an abundant number, since it is smaller than the sum of its proper divisors (22743624).

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

10082400 is a wasteful number, since it uses less digits than its factorization.

10082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10082400 is about 3175.2795152553. The cubic root of 10082400 is about 216.0336024541.

The spelling of 10082400 in words is "ten million, eighty-two thousand, four hundred".