10582400 has 48 divisors (see below), whose sum is σ = 26149740. Its totient is φ = 4231680.

The previous prime is 10582399. The next prime is 10582421. The reversal of 10582400 is 428501.

It is a super-2 number, since 2×10582400² = 223974379520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

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, 1547 + ... + 4853.

Almost surely, 2^10582400 is an apocalyptic number.

10582400 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 10582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074870).

10582400 is an abundant number, since it is smaller than the sum of its proper divisors (15567340).

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

10582400 is an equidigital number, since it uses as much as digits as its factorization.

10582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10582400 is about 3253.0600978156. The cubic root of 10582400 is about 219.5472783833.

The spelling of 10582400 in words is "ten million, five hundred eighty-two thousand, four hundred".