1075114944 has 280 divisors, whose sum is σ = 3398934528. Its totient is φ = 335301120.

The previous prime is 1075114919. The next prime is 1075114949. The reversal of 1075114944 is 4494115701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1075114899 and 1075114908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075114949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8465409 + ... + 8465535.

Almost surely, 2^1075114944 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 1075114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699467264).

1075114944 is an abundant number, since it is smaller than the sum of its proper divisors (2323819584).

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

1075114944 is a wasteful number, since it uses less digits than its factorization.

1075114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1075114944 is about 32788.9454542228. The cubic root of 1075114944 is about 1024.4363171552.

The spelling of 1075114944 in words is "one billion, seventy-five million, one hundred fourteen thousand, nine hundred forty-four".