1019978368 has 128 divisors (see below), whose sum is σ = 2248243200. Its totient is φ = 459095040.

The previous prime is 1019978357. The next prime is 1019978369. The reversal of 1019978368 is 8638799101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1019978369) 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 15 ways as a sum of consecutive naturals, for example, 6257455 + ... + 6257617.

It is an arithmetic number, because the mean of its divisors is an integer number (17564400).

Almost surely, 2^1019978368 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 1019978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124121600).

1019978368 is an abundant number, since it is smaller than the sum of its proper divisors (1228264832).

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

1019978368 is a wasteful number, since it uses less digits than its factorization.

1019978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The square root of 1019978368 is about 31937.1001814504. The cubic root of 1019978368 is about 1006.6155934110.

The spelling of 1019978368 in words is "one billion, nineteen million, nine hundred seventy-eight thousand, three hundred sixty-eight".