11661600 has 144 divisors (see below), whose sum is σ = 39184992. Its totient is φ = 3010560.

The previous prime is 11661571. The next prime is 11661607. The reversal of 11661600 is 616611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103144 + ... + 103256.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 2^11661600 is an apocalyptic number.

11661600 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 11661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592496).

11661600 is an abundant number, since it is smaller than the sum of its proper divisors (27523392).

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

11661600 is a wasteful number, since it uses less digits than its factorization.

11661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11661600 is about 3414.9084907212. The cubic root of 11661600 is about 226.7702333332.

It can be divided in two parts, 116 and 61600, that added together give a palindrome (61716).

The spelling of 11661600 in words is "eleven million, six hundred sixty-one thousand, six hundred".