1017887616 has 96 divisors (see below), whose sum is σ = 2942128800. Its totient is φ = 337784832.

The previous prime is 1017887603. The next prime is 1017887621. The reversal of 1017887616 is 6167887101.

It is a happy number.

1017887616 is a `hidden beast` number, since 10 + 17 + 8 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273480 + ... + 277176.

It is an arithmetic number, because the mean of its divisors is an integer number (30647175).

Almost surely, 2^1017887616 is an apocalyptic number.

1017887616 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 1017887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471064400).

1017887616 is an abundant number, since it is smaller than the sum of its proper divisors (1924241184).

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

1017887616 is a wasteful number, since it uses less digits than its factorization.

1017887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1017887616 is about 31904.3510512281. The cubic root of 1017887616 is about 1005.9273359397.

The spelling of 1017887616 in words is "one billion, seventeen million, eight hundred eighty-seven thousand, six hundred sixteen".