1075984416 has 144 divisors (see below), whose sum is σ = 3351741120. Its totient is φ = 325393920.

The previous prime is 1075984409. The next prime is 1075984433. The reversal of 1075984416 is 6144895701.

1075984416 is a `hidden beast` number, since 1 + 0 + 7 + 598 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1075984416² = 2315484926949722112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 218461 + ... + 223331.

It is an arithmetic number, because the mean of its divisors is an integer number (23275980).

Almost surely, 2^1075984416 is an apocalyptic number.

1075984416 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 1075984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675870560).

1075984416 is an abundant number, since it is smaller than the sum of its proper divisors (2275756704).

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

1075984416 is a wasteful number, since it uses less digits than its factorization.

1075984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1075984416 is about 32802.2013895409. The cubic root of 1075984416 is about 1024.7124050566.

The spelling of 1075984416 in words is "one billion, seventy-five million, nine hundred eighty-four thousand, four hundred sixteen".