1006412688 has 120 divisors (see below), whose sum is σ = 2933749728. Its totient is φ = 333994752.

The previous prime is 1006412683. The next prime is 1006412689. The reversal of 1006412688 is 8862146001.

1006412688 is a `hidden beast` number, since 1 + 0 + 0 + 641 + 2 + 6 + 8 + 8 = 666.

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 (1006412683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216531 + ... + 1217357.

Almost surely, 2^1006412688 is an apocalyptic number.

1006412688 is a gapful number since it is divisible by the number (18) 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 1006412688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466874864).

1006412688 is an abundant number, since it is smaller than the sum of its proper divisors (1927337040).

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

1006412688 is an equidigital number, since it uses as much as digits as its factorization.

1006412688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1006412688 is about 31724.0080695993. The cubic root of 1006412688 is about 1002.1330097014.

Adding to 1006412688 its reverse (8862146001), we get a palindrome (9868558689).

The spelling of 1006412688 in words is "one billion, six million, four hundred twelve thousand, six hundred eighty-eight".