1216416 has 24 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 405440.

The previous prime is 1216393. The next prime is 1216417. The reversal of 1216416 is 6146121.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1216392 and 1216401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6240 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

2^1216416 is an apocalyptic number.

1216416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1216416 is an abundant number, since it is smaller than the sum of its proper divisors (1976928).

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

1216416 is a wasteful number, since it uses less digits than its factorization.

1216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12676 counting only the distinct ones).

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

The square root of 1216416 is about 1102.9125078627. The cubic root of 1216416 is about 106.7482362178.

The spelling of 1216416 in words is "one million, two hundred sixteen thousand, four hundred sixteen".