10484800 has 42 divisors (see below), whose sum is σ = 25803098. Its totient is φ = 4193280.

The previous prime is 10484753. The next prime is 10484821. The reversal of 10484800 is 848401.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 10188864 = 544^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1677 + ... + 4876.

Almost surely, 2^10484800 is an apocalyptic number.

10484800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10484800 is an abundant number, since it is smaller than the sum of its proper divisors (15318298).

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

10484800 is an equidigital number, since it uses as much as digits as its factorization.

10484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10484800 is about 3238.0240888542. The cubic root of 10484800 is about 218.8702413772.

The spelling of 10484800 in words is "ten million, four hundred eighty-four thousand, eight hundred".