1001231616 has 144 divisors (see below), whose sum is σ = 3322464768. Its totient is φ = 260044800.

The previous prime is 1001231611. The next prime is 1001231629. The reversal of 1001231616 is 6161321001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1001231592 and 1001231601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001231611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50671 + ... + 67601.

It is an arithmetic number, because the mean of its divisors is an integer number (23072672).

Almost surely, 2^1001231616 is an apocalyptic number.

1001231616 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 1001231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661232384).

1001231616 is an abundant number, since it is smaller than the sum of its proper divisors (2321233152).

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

1001231616 is a wasteful number, since it uses less digits than its factorization.

1001231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16968 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1001231616 is about 31642.2441682002. The cubic root of 1001231616 is about 1000.4103702399.

Adding to 1001231616 its reverse (6161321001), we get a palindrome (7162552617).

The spelling of 1001231616 in words is "one billion, one million, two hundred thirty-one thousand, six hundred sixteen".