11754000 has 120 divisors (see below), whose sum is σ = 41115672. Its totient is φ = 3129600.

The previous prime is 11753999. The next prime is 11754013. The reversal of 11754000 is 45711.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 10342656 = 1188^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 17674 + ... + 18326.

Almost surely, 2^11754000 is an apocalyptic number.

11754000 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 11754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557836).

11754000 is an abundant number, since it is smaller than the sum of its proper divisors (29361672).

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

11754000 is a wasteful number, since it uses less digits than its factorization.

11754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11754000 is about 3428.4107105188. The cubic root of 11754000 is about 227.3675919127.

Adding to 11754000 its reverse (45711), we get a palindrome (11799711).

The spelling of 11754000 in words is "eleven million, seven hundred fifty-four thousand".