2607216 has 40 divisors (see below), whose sum is σ = 6971280. Its totient is φ = 838656.

The previous prime is 2607181. The next prime is 2607217. The reversal of 2607216 is 6127062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2607217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (174282).

2^2607216 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 2607216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485640).

2607216 is an abundant number, since it is smaller than the sum of its proper divisors (4364064).

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

2607216 is a wasteful number, since it uses less digits than its factorization.

2607216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2607216 is about 1614.6875858816. The cubic root of 2607216 is about 137.6339807009.

The spelling of 2607216 in words is "two million, six hundred seven thousand, two hundred sixteen".