11896000 has 56 divisors (see below), whose sum is σ = 29480256. Its totient is φ = 4755200.

The previous prime is 11895997. The next prime is 11896019. The reversal of 11896000 is 69811.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7257 + ... + 8743.

Almost surely, 2^11896000 is an apocalyptic number.

11896000 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 11896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

11896000 is an abundant number, since it is smaller than the sum of its proper divisors (17584256).

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

11896000 is an equidigital number, since it uses as much as digits as its factorization.

11896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 11896000 is about 3449.0578423680. The cubic root of 11896000 is about 228.2795381228.

The spelling of 11896000 in words is "eleven million, eight hundred ninety-six thousand".