10322400 has 288 divisors, whose sum is σ = 40497408. Its totient is φ = 2252800.

The previous prime is 10322399. The next prime is 10322413. The reversal of 10322400 is 422301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448789 + ... + 448811.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^10322400 is an apocalyptic number.

10322400 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 10322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

10322400 is an abundant number, since it is smaller than the sum of its proper divisors (30175008).

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

10322400 is a wasteful number, since it uses less digits than its factorization.

10322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10322400 is about 3212.8492028105. The cubic root of 10322400 is about 217.7343227039.

Adding to 10322400 its reverse (422301), we get a palindrome (10744701).

Subtracting from 10322400 its reverse (422301), we obtain a palindrome (9900099).

The spelling of 10322400 in words is "ten million, three hundred twenty-two thousand, four hundred".