1006811080 has 32 divisors (see below), whose sum is σ = 2471264640. Its totient is φ = 366112960.

The previous prime is 1006811059. The next prime is 1006811081. The reversal of 1006811080 is 801186001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1006811081) 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, 1143664 + ... + 1144543.

It is an arithmetic number, because the mean of its divisors is an integer number (77227020).

Almost surely, 2^1006811080 is an apocalyptic number.

1006811080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006811080 is an abundant number, since it is smaller than the sum of its proper divisors (1464453560).

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

1006811080 is a wasteful number, since it uses less digits than its factorization.

1006811080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288229 (or 2288225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 1006811080 is about 31730.2864783790. The cubic root of 1006811080 is about 1002.2652248818.

Adding to 1006811080 its reverse (801186001), we get a palindrome (1807997081).

It can be divided in two parts, 100681 and 1080, that added together give a square (101761 = 319²).

The spelling of 1006811080 in words is "one billion, six million, eight hundred eleven thousand, eighty".