1011083616 has 72 divisors (see below), whose sum is σ = 2945431944. Its totient is φ = 328803840.

The previous prime is 1011083609. The next prime is 1011083617. The reversal of 1011083616 is 6163801101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1011083616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011083617) 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, 31006 + ... + 54621.

It is an arithmetic number, because the mean of its divisors is an integer number (40908777).

Almost surely, 2^1011083616 is an apocalyptic number.

1011083616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011083616 is an abundant number, since it is smaller than the sum of its proper divisors (1934348328).

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

1011083616 is a wasteful number, since it uses less digits than its factorization.

1011083616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85684 (or 85673 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1011083616 is about 31797.5410370047. The cubic root of 1011083616 is about 1003.6809724831.

Adding to 1011083616 its reverse (6163801101), we get a palindrome (7174884717).

The spelling of 1011083616 in words is "one billion, eleven million, eighty-three thousand, six hundred sixteen".