1031128560 has 360 divisors, whose sum is σ = 4396098096. Its totient is φ = 214179840.

The previous prime is 1031128559. The next prime is 1031128573. The reversal of 1031128560 is 658211301.

1031128560 is a `hidden beast` number, since 10 + 311 + 285 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1031128560² = 2126452214495347200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386752 + ... + 389408.

Almost surely, 2^1031128560 is an apocalyptic number.

1031128560 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 1031128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198049048).

1031128560 is an abundant number, since it is smaller than the sum of its proper divisors (3364969536).

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

1031128560 is a wasteful number, since it uses less digits than its factorization.

1031128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1031128560 is about 32111.1905727583. The cubic root of 1031128560 is about 1010.2703455633.

Adding to 1031128560 its reverse (658211301), we get a palindrome (1689339861).

The spelling of 1031128560 in words is "one billion, thirty-one million, one hundred twenty-eight thousand, five hundred sixty".