16214016 has 192 divisors, whose sum is σ = 55036800. Its totient is φ = 4128768.

The previous prime is 16213997. The next prime is 16214017. The reversal of 16214016 is 61041261.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 16213983 and 16214001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559090 + ... + 559118.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^16214016 is an apocalyptic number.

16214016 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 16214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

16214016 is an abundant number, since it is smaller than the sum of its proper divisors (38822784).

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

16214016 is a wasteful number, since it uses less digits than its factorization.

16214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16214016 is about 4026.6631346563. The cubic root of 16214016 is about 253.1027511004.

Adding to 16214016 its reverse (61041261), we get a palindrome (77255277).

The spelling of 16214016 in words is "sixteen million, two hundred fourteen thousand, sixteen".