11961600 has 216 divisors, whose sum is σ = 45622080. Its totient is φ = 2703360.

The previous prime is 11961589. The next prime is 11961647. The reversal of 11961600 is 616911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134356 + ... + 134444.

Almost surely, 2^11961600 is an apocalyptic number.

11961600 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 11961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040).

11961600 is an abundant number, since it is smaller than the sum of its proper divisors (33660480).

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

11961600 is an equidigital number, since it uses as much as digits as its factorization.

11961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 11961600 is about 3458.5546113948. The cubic root of 11961600 is about 228.6983818554.

It can be divided in two parts, 11961 and 600, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 11961600 in words is "eleven million, nine hundred sixty-one thousand, six hundred".