2961216 has 84 divisors (see below), whose sum is σ = 8737092. Its totient is φ = 958464.

The previous prime is 2961209. The next prime is 2961229. The reversal of 2961216 is 6121692.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 1218816 = 1320^2 + 1104^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2961216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30480 + ... + 30576.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

2^2961216 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 2961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368546).

2961216 is an abundant number, since it is smaller than the sum of its proper divisors (5775876).

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

2961216 is a wasteful number, since it uses less digits than its factorization.

2961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2961216 is about 1720.8184099434. The cubic root of 2961216 is about 143.6007459038.

The spelling of 2961216 in words is "two million, nine hundred sixty-one thousand, two hundred sixteen".