1075044960 has 240 divisors, whose sum is σ = 4139471952. Its totient is φ = 260582400.

The previous prime is 1075044941. The next prime is 1075044977. The reversal of 1075044960 is 694405701.

1075044960 is a `hidden beast` number, since 107 + 50 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1075044960³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138790 + ... + 146330.

Almost surely, 2^1075044960 is an apocalyptic number.

1075044960 is a gapful number since it is divisible by the number (10) 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 1075044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069735976).

1075044960 is an abundant number, since it is smaller than the sum of its proper divisors (3064426992).

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

1075044960 is a wasteful number, since it uses less digits than its factorization.

1075044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1075044960 is about 32787.8782479135. The cubic root of 1075044960 is about 1024.4140883051.

The spelling of 1075044960 in words is "one billion, seventy-five million, forty-four thousand, nine hundred sixty".