1075054464 has 128 divisors (see below), whose sum is σ = 3461472000. Its totient is φ = 325762560.

The previous prime is 1075054459. The next prime is 1075054493. The reversal of 1075054464 is 4644505701.

1075054464 is a `hidden beast` number, since 1 + 0 + 7 + 50 + 544 + 64 = 666.

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

It is a super-3 number, since 3×1075054464³ (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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23877 + ... + 52155.

It is an arithmetic number, because the mean of its divisors is an integer number (27042750).

Almost surely, 2^1075054464 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 1075054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730736000).

1075054464 is an abundant number, since it is smaller than the sum of its proper divisors (2386417536).

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

1075054464 is a wasteful number, since it uses less digits than its factorization.

1075054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28313 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1075054464 is about 32788.0231792037. The cubic root of 1075054464 is about 1024.4171070944.

The spelling of 1075054464 in words is "one billion, seventy-five million, fifty-four thousand, four hundred sixty-four".