1075984896 has 320 divisors, whose sum is σ = 3614054400. Its totient is φ = 277364736.

The previous prime is 1075984891. The next prime is 1075984933. The reversal of 1075984896 is 6984895701.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075984891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4698510 + ... + 4698738.

It is an arithmetic number, because the mean of its divisors is an integer number (11293920).

Almost surely, 2^1075984896 is an apocalyptic number.

1075984896 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 1075984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807027200).

1075984896 is an abundant number, since it is smaller than the sum of its proper divisors (2538069504).

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

1075984896 is a wasteful number, since it uses less digits than its factorization.

1075984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 1075984896 is about 32802.2087061222. The cubic root of 1075984896 is about 1024.7125574324.

The spelling of 1075984896 in words is "one billion, seventy-five million, nine hundred eighty-four thousand, eight hundred ninety-six".