1006401807 has 8 divisors (see below), whose sum is σ = 1490965680. Its totient is φ = 670934520.

The previous prime is 1006401791. The next prime is 1006401817. The reversal of 1006401807 is 7081046001.

It is a happy number.

1006401807 is a `hidden beast` number, since 1 + 0 + 0 + 640 + 18 + 0 + 7 = 666.

It is not a de Polignac number, because 1006401807 - 2⁴ = 1006401791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 37274141 = 1006401807 / (1 + 0 + 0 + 6 + 4 + 0 + 1 + 8 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006401817) 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, 18637044 + ... + 18637097.

It is an arithmetic number, because the mean of its divisors is an integer number (186370710).

Almost surely, 2^1006401807 is an apocalyptic number.

1006401807 is a deficient number, since it is larger than the sum of its proper divisors (484563873).

1006401807 is an equidigital number, since it uses as much as digits as its factorization.

1006401807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37274150 (or 37274144 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1006401807 is about 31723.8365744120. The cubic root of 1006401807 is about 1002.1293981119.

Adding to 1006401807 its reverse (7081046001), we get a palindrome (8087447808).

The spelling of 1006401807 in words is "one billion, six million, four hundred one thousand, eight hundred seven".