10491200 has 84 divisors (see below), whose sum is σ = 26456640. Its totient is φ = 4093440.

The previous prime is 10491181. The next prime is 10491233. The reversal of 10491200 is 219401.

It is a happy number.

It is a super-2 number, since 2×10491200² = 220130554880000, which contains 22 as substring.

It is a zygodrome in base 4.

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, 126359 + ... + 126441.

It is an arithmetic number, because the mean of its divisors is an integer number (314960).

Almost surely, 2^10491200 is an apocalyptic number.

10491200 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 10491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

10491200 is an abundant number, since it is smaller than the sum of its proper divisors (15965440).

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

10491200 is an equidigital number, since it uses as much as digits as its factorization.

10491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10491200 is about 3239.0121950990. The cubic root of 10491200 is about 218.9147656609.

The spelling of 10491200 in words is "ten million, four hundred ninety-one thousand, two hundred".