11289600 has 297 divisors, whose sum is σ = 47021637. Its totient is φ = 2580480.

The previous prime is 11289587. The next prime is 11289601. The reversal of 11289600 is 698211.

The square root of 11289600 is 3360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 7225344 = 2016^2 + 2688^2 .

It is not an unprimeable number, because it can be changed into a prime (11289601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1612797 + ... + 1612803.

Almost surely, 2^11289600 is an apocalyptic number.

11289600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11289600 is the 3360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289600

11289600 is an abundant number, since it is smaller than the sum of its proper divisors (35732037).

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

11289600 is a wasteful number, since it uses less digits than its factorization.

11289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 11289600 is about 224.3328385282.

The spelling of 11289600 in words is "eleven million, two hundred eighty-nine thousand, six hundred".