11892000 has 96 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3168000.

The previous prime is 11891953. The next prime is 11892017. The reversal of 11892000 is 29811.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11505 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^11892000 is an apocalyptic number.

11892000 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 11892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

11892000 is an abundant number, since it is smaller than the sum of its proper divisors (27105504).

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

11892000 is an equidigital number, since it uses as much as digits as its factorization.

11892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11892000 is about 3448.4779251142. The cubic root of 11892000 is about 228.2539491148.

The spelling of 11892000 in words is "eleven million, eight hundred ninety-two thousand".