1068118560 has 144 divisors (see below), whose sum is σ = 3655131480. Its totient is φ = 284037120.

The previous prime is 1068118559. The next prime is 1068118567. The reversal of 1068118560 is 658118601.

1068118560 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 18 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1008951696 + 59166864 = 31764^2 + 7692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1068118560² = 2281754516432947200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1068118567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663036 + ... + 664644.

Almost surely, 2^1068118560 is an apocalyptic number.

1068118560 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 1068118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827565740).

1068118560 is an abundant number, since it is smaller than the sum of its proper divisors (2587012920).

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

1068118560 is a wasteful number, since it uses less digits than its factorization.

1068118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1068118560 is about 32682.0831649392. The cubic root of 1068118560 is about 1022.2092828300.

It can be divided in two parts, 10681 and 18560, that added together give a square (29241 = 171²).

The spelling of 1068118560 in words is "one billion, sixty-eight million, one hundred eighteen thousand, five hundred sixty".