1019896416 has 432 divisors, whose sum is σ = 3774974112. Its totient is φ = 255467520.

The previous prime is 1019896391. The next prime is 1019896417. The reversal of 1019896416 is 6146989101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019896417) 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 71 ways as a sum of consecutive naturals, for example, 9025576 + ... + 9025688.

It is an arithmetic number, because the mean of its divisors is an integer number (8738366).

Almost surely, 2^1019896416 is an apocalyptic number.

1019896416 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 1019896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887487056).

1019896416 is an abundant number, since it is smaller than the sum of its proper divisors (2755077696).

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

1019896416 is a wasteful number, since it uses less digits than its factorization.

1019896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1019896416 is about 31935.8171337450. The cubic root of 1019896416 is about 1006.5886332410.

The spelling of 1019896416 in words is "one billion, nineteen million, eight hundred ninety-six thousand, four hundred sixteen".