11384016 has 80 divisors (see below), whose sum is σ = 35604864. Its totient is φ = 3059712.

The previous prime is 11383997. The next prime is 11384053. The reversal of 11384016 is 61048311.

11384016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4716 + ... + 6708.

Almost surely, 2^11384016 is an apocalyptic number.

11384016 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 11384016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802432).

11384016 is an abundant number, since it is smaller than the sum of its proper divisors (24220848).

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

11384016 is a wasteful number, since it uses less digits than its factorization.

11384016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11384016 is about 3374.0207468242. The cubic root of 11384016 is about 224.9564755317.

The spelling of 11384016 in words is "eleven million, three hundred eighty-four thousand, sixteen".