10422800 has 60 divisors (see below), whose sum is σ = 25462656. Its totient is φ = 4099200.

The previous prime is 10422791. The next prime is 10422809. The reversal of 10422800 is 822401.

It is an interprime number because it is at equal distance from previous prime (10422791) and next prime (10422809).

It is not an unprimeable number, because it can be changed into a prime (10422809) 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, 28217 + ... + 28583.

Almost surely, 2^10422800 is an apocalyptic number.

10422800 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 10422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731328).

10422800 is an abundant number, since it is smaller than the sum of its proper divisors (15039856).

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

10422800 is a wasteful number, since it uses less digits than its factorization.

10422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10422800 is about 3228.4361539296. The cubic root of 10422800 is about 218.4379714556.

The spelling of 10422800 in words is "ten million, four hundred twenty-two thousand, eight hundred".