1075661560 has 64 divisors (see below), whose sum is σ = 2504908800. Its totient is φ = 415286400.

The previous prime is 1075661557. The next prime is 1075661563. The reversal of 1075661560 is 651665701.

It is an interprime number because it is at equal distance from previous prime (1075661557) and next prime (1075661563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075661563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593055 + ... + 594865.

It is an arithmetic number, because the mean of its divisors is an integer number (39139200).

Almost surely, 2^1075661560 is an apocalyptic number.

1075661560 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 1075661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252454400).

1075661560 is an abundant number, since it is smaller than the sum of its proper divisors (1429247240).

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

1075661560 is a wasteful number, since it uses less digits than its factorization.

1075661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 1075661560 is about 32797.2797652488. The cubic root of 1075661560 is about 1024.6099043021.

The spelling of 1075661560 in words is "one billion, seventy-five million, six hundred sixty-one thousand, five hundred sixty".