1068408540 has 36 divisors (see below), whose sum is σ = 3240839784. Its totient is φ = 284908896.

The previous prime is 1068408533. The next prime is 1068408541. The reversal of 1068408540 is 458048601.

1068408540 is a `hidden beast` number, since 10 + 68 + 40 + 8 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1068408540² = 2282993616689863200, 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 = 1068408495 and 1068408504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068408541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2967622 + ... + 2967981.

Almost surely, 2^1068408540 is an apocalyptic number.

1068408540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068408540 is an abundant number, since it is smaller than the sum of its proper divisors (2172431244).

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

1068408540 is a wasteful number, since it uses less digits than its factorization.

1068408540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935618 (or 5935613 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1068408540 is about 32686.5192395887. The cubic root of 1068408540 is about 1022.3017798736.

The spelling of 1068408540 in words is "one billion, sixty-eight million, four hundred eight thousand, five hundred forty".