11797200 has 180 divisors, whose sum is σ = 42726060. Its totient is φ = 3010560.

The previous prime is 11797199. The next prime is 11797213. The reversal of 11797200 is 279711.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 9511056 = 1512^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104344 + ... + 104456.

It is an arithmetic number, because the mean of its divisors is an integer number (237367).

Almost surely, 2^11797200 is an apocalyptic number.

11797200 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 11797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363030).

11797200 is an abundant number, since it is smaller than the sum of its proper divisors (30928860).

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

11797200 is a wasteful number, since it uses less digits than its factorization.

11797200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11797200 is about 3434.7052275268. The cubic root of 11797200 is about 227.6458027646.

The spelling of 11797200 in words is "eleven million, seven hundred ninety-seven thousand, two hundred".