1006008768 has 56 divisors (see below), whose sum is σ = 2957484560. Its totient is φ = 335335680.

The previous prime is 1006008763. The next prime is 1006008791. The reversal of 1006008768 is 8678006001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006008763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289363 + ... + 292818.

Almost surely, 2^1006008768 is an apocalyptic number.

1006008768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006008768 is an abundant number, since it is smaller than the sum of its proper divisors (1951475792).

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

1006008768 is an equidigital number, since it uses as much as digits as its factorization.

1006008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582202 (or 582186 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1006008768 is about 31717.6412742184. The cubic root of 1006008768 is about 1001.9989243059.

The spelling of 1006008768 in words is "one billion, six million, eight thousand, seven hundred sixty-eight".