1068056640 has 336 divisors, whose sum is σ = 4336450560. Its totient is φ = 236113920.

The previous prime is 1068056629. The next prime is 1068056641. The reversal of 1068056640 is 466508601.

1068056640 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1068056640² = 2281489972496179200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1068056595 and 1068056604.

It is not an unprimeable number, because it can be changed into a prime (1068056641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624106 + ... + 625814.

Almost surely, 2^1068056640 is an apocalyptic number.

1068056640 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 1068056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

1068056640 is an abundant number, since it is smaller than the sum of its proper divisors (3268393920).

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

1068056640 is a wasteful number, since it uses less digits than its factorization.

1068056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1068056640 is about 32681.1358431741. The cubic root of 1068056640 is about 1022.1895295853.

The spelling of 1068056640 in words is "one billion, sixty-eight million, fifty-six thousand, six hundred forty".