11864192 has 32 divisors (see below), whose sum is σ = 24051600. Its totient is φ = 5827840.

The previous prime is 11864183. The next prime is 11864197. The reversal of 11864192 is 29146811.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11864197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6767 + ... + 8337.

Almost surely, 2^11864192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025800).

11864192 is an abundant number, since it is smaller than the sum of its proper divisors (12187408).

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

11864192 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (11864193) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1644).

11864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1632 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 11864192 is about 3444.4436415770. The cubic root of 11864192 is about 228.0758955296.

The spelling of 11864192 in words is "eleven million, eight hundred sixty-four thousand, one hundred ninety-two".