1001616084 has 192 divisors, whose sum is σ = 3158937600. Its totient is φ = 268085376.

The previous prime is 1001616079. The next prime is 1001616127. The reversal of 1001616084 is 4806161001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479154 + ... + 1479830.

It is an arithmetic number, because the mean of its divisors is an integer number (16452800).

Almost surely, 2^1001616084 is an apocalyptic number.

1001616084 is a gapful number since it is divisible by the number (14) 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 1001616084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579468800).

1001616084 is an abundant number, since it is smaller than the sum of its proper divisors (2157321516).

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

1001616084 is a wasteful number, since it uses less digits than its factorization.

1001616084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1001616084 is about 31648.3188179088. The cubic root of 1001616084 is about 1000.5384047350.

Adding to 1001616084 its reverse (4806161001), we get a palindrome (5807777085).

The spelling of 1001616084 in words is "one billion, one million, six hundred sixteen thousand, eighty-four".