1017792216 has 160 divisors (see below), whose sum is σ = 3279371040. Its totient is φ = 288893952.

The previous prime is 1017792203. The next prime is 1017792229. The reversal of 1017792216 is 6122977101.

It is a happy number.

1017792216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1017792203) and next prime (1017792229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 784080 + ... + 785376.

It is an arithmetic number, because the mean of its divisors is an integer number (20496069).

Almost surely, 2^1017792216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017792216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639685520).

1017792216 is an abundant number, since it is smaller than the sum of its proper divisors (2261578824).

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

1017792216 is a wasteful number, since it uses less digits than its factorization.

1017792216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1017792216 is about 31902.8559223152. The cubic root of 1017792216 is about 1005.8959086110.

The spelling of 1017792216 in words is "one billion, seventeen million, seven hundred ninety-two thousand, two hundred sixteen".