1001616 has 80 divisors (see below), whose sum is σ = 3237888. Its totient is φ = 259200.

The previous prime is 1001593. The next prime is 1001621. The reversal of 1001616 is 6161001.

It is a super-2 number, since 2×1001616² = 2006469222912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001595 and 1001604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 3831.

2^1001616 is an apocalyptic number.

1001616 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 1001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618944).

1001616 is an abundant number, since it is smaller than the sum of its proper divisors (2236272).

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

1001616 is a wasteful number, since it uses less digits than its factorization.

1001616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1001616 is about 1000.8076738315. The cubic root of 1001616 is about 100.0538376765.

Adding to 1001616 its reverse (6161001), we get a palindrome (7162617).

It can be divided in two parts, 1001 and 616, that multiplied together give a palindrome (616616).

The spelling of 1001616 in words is "one million, one thousand, six hundred sixteen".