11476000 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 4320000.

The previous prime is 11475977. The next prime is 11476001. The reversal of 11476000 is 67411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11476001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75925 + ... + 76075.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^11476000 is an apocalyptic number.

11476000 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 11476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11476000 is an abundant number, since it is smaller than the sum of its proper divisors (18401120).

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

11476000 is a wasteful number, since it uses less digits than its factorization.

11476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11476000 is about 3387.6245364562. The cubic root of 11476000 is about 225.5607412866.

The spelling of 11476000 in words is "eleven million, four hundred seventy-six thousand".