11161600 has 78 divisors (see below), whose sum is σ = 27931310. Its totient is φ = 4423680.

The previous prime is 11161589. The next prime is 11161603. The reversal of 11161600 is 616111.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 9834496 = 1152^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102346 + ... + 102454.

Almost surely, 2^11161600 is an apocalyptic number.

11161600 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 11161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965655).

11161600 is an abundant number, since it is smaller than the sum of its proper divisors (16769710).

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

11161600 is an equidigital number, since it uses as much as digits as its factorization.

11161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11161600 is about 3340.8980828514. The cubic root of 11161600 is about 223.4817952998.

Adding to 11161600 its reverse (616111), we get a palindrome (11777711).

The spelling of 11161600 in words is "eleven million, one hundred sixty-one thousand, six hundred".