1075152960 has 448 divisors, whose sum is σ = 4491532800. Its totient is φ = 236888064.

The previous prime is 1075152893. The next prime is 1075152971. The reversal of 1075152960 is 692515701.

1075152960 is a `hidden beast` number, since 1 + 0 + 75 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1753614 + ... + 1754226.

Almost surely, 2^1075152960 is an apocalyptic number.

1075152960 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 1075152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245766400).

1075152960 is an abundant number, since it is smaller than the sum of its proper divisors (3416379840).

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

1075152960 is a wasteful number, since it uses less digits than its factorization.

1075152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1075152960 is about 32789.5251566716. The cubic root of 1075152960 is about 1024.4483916819.

The spelling of 1075152960 in words is "one billion, seventy-five million, one hundred fifty-two thousand, nine hundred sixty".