1008116160 has 112 divisors (see below), whose sum is σ = 3269016576. Its totient is φ = 263099392.

The previous prime is 1008116147. The next prime is 1008116173. The reversal of 1008116160 is 616118001.

It is an interprime number because it is at equal distance from previous prime (1008116147) and next prime (1008116173).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1008116160.

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, 33949 + ... + 56291.

It is an arithmetic number, because the mean of its divisors is an integer number (29187648).

Almost surely, 2^1008116160 is an apocalyptic number.

1008116160 is a gapful number since it is divisible by the number (10) 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 1008116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634508288).

1008116160 is an abundant number, since it is smaller than the sum of its proper divisors (2260900416).

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

1008116160 is a wasteful number, since it uses less digits than its factorization.

1008116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22410 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1008116160 is about 31750.8450281248. The cubic root of 1008116160 is about 1002.6981003739.

The spelling of 1008116160 in words is "one billion, eight million, one hundred sixteen thousand, one hundred sixty".