11534000 has 80 divisors (see below), whose sum is σ = 28629120. Its totient is φ = 4492800.

The previous prime is 11533993. The next prime is 11534009. The reversal of 11534000 is 43511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11534009) 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, 145961 + ... + 146039.

It is an arithmetic number, because the mean of its divisors is an integer number (357864).

Almost surely, 2^11534000 is an apocalyptic number.

11534000 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 11534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314560).

11534000 is an abundant number, since it is smaller than the sum of its proper divisors (17095120).

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

11534000 is an equidigital number, since it uses as much as digits as its factorization.

11534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11534000 is about 3396.1743182587. The cubic root of 11534000 is about 225.9400995086.

Adding to 11534000 its reverse (43511), we get a palindrome (11577511).

The spelling of 11534000 in words is "eleven million, five hundred thirty-four thousand".