11290800 has 90 divisors (see below), whose sum is σ = 36544908. Its totient is φ = 2979840.

The previous prime is 11290787. The next prime is 11290801. The reversal of 11290800 is 809211.

It is not an unprimeable number, because it can be changed into a prime (11290801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116352 + ... + 116448.

Almost surely, 2^11290800 is an apocalyptic number.

11290800 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 11290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272454).

11290800 is an abundant number, since it is smaller than the sum of its proper divisors (25254108).

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

11290800 is an equidigital number, since it uses as much as digits as its factorization.

11290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11290800 is about 3360.1785666836. The cubic root of 11290800 is about 224.3407865473.

It can be divided in two parts, 11290 and 800, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11290800 in words is "eleven million, two hundred ninety thousand, eight hundred".