2007616 has 56 divisors (see below), whose sum is σ = 4551680. Its totient is φ = 870912.

The previous prime is 2007613. The next prime is 2007617. The reversal of 2007616 is 6167002.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007611) 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, 15745 + ... + 15871.

It is an arithmetic number, because the mean of its divisors is an integer number (81280).

2^2007616 is an apocalyptic number.

2007616 is a gapful number since it is divisible by the number (26) 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 2007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275840).

2007616 is an abundant number, since it is smaller than the sum of its proper divisors (2544064).

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

2007616 is a wasteful number, since it uses less digits than its factorization.

2007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2007616 is about 1416.9036664502. The cubic root of 2007616 is about 126.1518283971.

The spelling of 2007616 in words is "two million, seven thousand, six hundred sixteen".