1008616 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 413280.

The previous prime is 1008613. The next prime is 1008617. The reversal of 1008616 is 6168001.

It is not an unprimeable number, because it can be changed into a prime (1008611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12111 + ... + 12193.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^1008616 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 1008616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

1008616 is an abundant number, since it is smaller than the sum of its proper divisors (1289624).

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

1008616 is a wasteful number, since it uses less digits than its factorization.

1008616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1008616 is about 1004.2987603298. The cubic root of 1008616 is about 100.2863790873.

The spelling of 1008616 in words is "one million, eight thousand, six hundred sixteen".