1068744960 has 216 divisors, whose sum is σ = 3735013464. Its totient is φ = 282132480.

The previous prime is 1068744953. The next prime is 1068744961. The reversal of 1068744960 is 694478601.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 1052872704 = 3984^2 + 32448^2 .

It is a super-2 number, since 2×1068744960² = 2284431579050803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1068744961) 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, 1301350 + ... + 1302170.

It is an arithmetic number, because the mean of its divisors is an integer number (17291729).

Almost surely, 2^1068744960 is an apocalyptic number.

1068744960 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 1068744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867506732).

1068744960 is an abundant number, since it is smaller than the sum of its proper divisors (2666268504).

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

1068744960 is a wasteful number, since it uses less digits than its factorization.

1068744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1068744960 is about 32691.6649927776. The cubic root of 1068744960 is about 1022.4090692547.

The spelling of 1068744960 in words is "one billion, sixty-eight million, seven hundred forty-four thousand, nine hundred sixty".