1002617616 has 360 divisors, whose sum is σ = 3579687552. Its totient is φ = 239500800.

The previous prime is 1002617597. The next prime is 1002617617. The reversal of 1002617616 is 6167162001.

1002617616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002617617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3699561 + ... + 3699831.

Almost surely, 2^1002617616 is an apocalyptic number.

1002617616 is a gapful number since it is divisible by the number (16) 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 1002617616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789843776).

1002617616 is an abundant number, since it is smaller than the sum of its proper divisors (2577069936).

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

1002617616 is a wasteful number, since it uses less digits than its factorization.

1002617616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1002617616 is about 31664.1376955066. The cubic root of 1002617616 is about 1000.8717784482.

Adding to 1002617616 its reverse (6167162001), we get a palindrome (7169779617).

The spelling of 1002617616 in words is "one billion, two million, six hundred seventeen thousand, six hundred sixteen".