12064416 has 96 divisors (see below), whose sum is σ = 39005568. Its totient is φ = 3179520.

The previous prime is 12064399. The next prime is 12064439. The reversal of 12064416 is 61446021.

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

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, 8046 + ... + 9426.

It is an arithmetic number, because the mean of its divisors is an integer number (406308).

Almost surely, 2^12064416 is an apocalyptic number.

12064416 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 12064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19502784).

12064416 is an abundant number, since it is smaller than the sum of its proper divisors (26941152).

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

12064416 is a wasteful number, since it uses less digits than its factorization.

12064416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12064416 is about 3473.3868198057. The cubic root of 12064416 is about 229.3517727497.

The spelling of 12064416 in words is "twelve million, sixty-four thousand, four hundred sixteen".