1216116 has 72 divisors (see below), whose sum is σ = 3485664. Its totient is φ = 354240.

The previous prime is 1216109. The next prime is 1216123. The reversal of 1216116 is 6116121.

1216116 = T₁₂₈ + T₁₂₉ + ... + T₂₁₀.

1216116 = 73³ + 74³ + 75³.

It is an interprime number because it is at equal distance from previous prime (1216109) and next prime (1216123).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14611 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2^1216116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832).

1216116 is an abundant number, since it is smaller than the sum of its proper divisors (2269548).

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

1216116 is a wasteful number, since it uses less digits than its factorization.

1216116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1216116 is about 1102.7764959410. The cubic root of 1216116 is about 106.7394598606.

The spelling of 1216116 in words is "one million, two hundred sixteen thousand, one hundred sixteen".