11376000 has 192 divisors, whose sum is σ = 41371200. Its totient is φ = 2995200.

The previous prime is 11375993. The next prime is 11376019. The reversal of 11376000 is 67311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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, 143961 + ... + 144039.

It is an arithmetic number, because the mean of its divisors is an integer number (215475).

Almost surely, 2^11376000 is an apocalyptic number.

11376000 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 11376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685600).

11376000 is an abundant number, since it is smaller than the sum of its proper divisors (29995200).

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

11376000 is an equidigital number, since it uses as much as digits as its factorization.

11376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11376000 is about 3372.8326374132. The cubic root of 11376000 is about 224.9036624611.

The spelling of 11376000 in words is "eleven million, three hundred seventy-six thousand".