11904192 has 84 divisors (see below), whose sum is σ = 35422840. Its totient is φ = 3920256.

The previous prime is 11904187. The next prime is 11904197. The reversal of 11904192 is 29140911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11904187) and next prime (11904197).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11904197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143383 + ... + 143465.

Almost surely, 2^11904192 is an apocalyptic number.

11904192 is a gapful number since it is divisible by the number (12) 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 11904192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711420).

11904192 is an abundant number, since it is smaller than the sum of its proper divisors (23518648).

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

11904192 is an frugal number, since it uses more digits than its factorization.

11904192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11904192 is about 3450.2452086772. The cubic root of 11904192 is about 228.3319265132.

Multiplying 11904192 by its sum of digits (27), we get a square (321413184 = 17928²).

11904192 divided by its sum of digits (27) gives a square (440896 = 664²).

The spelling of 11904192 in words is "eleven million, nine hundred four thousand, one hundred ninety-two".