11611600 has 240 divisors, whose sum is σ = 38747520. Its totient is φ = 3225600.

The previous prime is 11611597. The next prime is 11611609. The reversal of 11611600 is 611611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400386 + ... + 400414.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^11611600 is an apocalyptic number.

11611600 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 11611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

11611600 is an abundant number, since it is smaller than the sum of its proper divisors (27135920).

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

11611600 is a wasteful number, since it uses less digits than its factorization.

11611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

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

The square root of 11611600 is about 3407.5797862999. The cubic root of 11611600 is about 226.4456708007.

It can be divided in two parts, 116 and 11600, that multiplied together give a square (1345600 = 1160²).

The spelling of 11611600 in words is "eleven million, six hundred eleven thousand, six hundred".