1016916000 has 192 divisors, whose sum is σ = 3374856576. Its totient is φ = 267648000.

The previous prime is 1016915981. The next prime is 1016916007. The reversal of 1016916000 is 6196101.

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

It is not an unprimeable number, because it can be changed into a prime (1016916007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995490 + ... + 996510.

It is an arithmetic number, because the mean of its divisors is an integer number (17577378).

Almost surely, 2^1016916000 is an apocalyptic number.

1016916000 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 1016916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288).

1016916000 is an abundant number, since it is smaller than the sum of its proper divisors (2357940576).

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

1016916000 is a wasteful number, since it uses less digits than its factorization.

1016916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1016916000 is about 31889.1204017922. The cubic root of 1016916000 is about 1005.6071675747.

The spelling of 1016916000 in words is "one billion, sixteen million, nine hundred sixteen thousand".