11878016 has 32 divisors (see below), whose sum is σ = 24014880. Its totient is φ = 5850880.

The previous prime is 11878003. The next prime is 11878033. The reversal of 11878016 is 61087811.

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 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 3 ways as a sum of consecutive naturals, for example, 8435 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (750465).

Almost surely, 2^11878016 is an apocalyptic number.

11878016 is a gapful number since it is divisible by the number (16) 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 11878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12007440).

11878016 is an abundant number, since it is smaller than the sum of its proper divisors (12136864).

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

11878016 is an equidigital number, since it uses as much as digits as its factorization.

11878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 11878016 is about 3446.4497675144. The cubic root of 11878016 is about 228.1644448212.

The spelling of 11878016 in words is "eleven million, eight hundred seventy-eight thousand, sixteen".