1006146993 has 16 divisors (see below), whose sum is σ = 1365523712. Its totient is φ = 658800000.

The previous prime is 1006146979. The next prime is 1006146997. The reversal of 1006146993 is 3996416001.

It is not a de Polignac number, because 1006146993 - 2⁸ = 1006146737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006146997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133773 + ... + 141093.

It is an arithmetic number, because the mean of its divisors is an integer number (85345232).

Almost surely, 2^1006146993 is an apocalyptic number.

It is an amenable number.

1006146993 is a deficient number, since it is larger than the sum of its proper divisors (359376719).

1006146993 is an equidigital number, since it uses as much as digits as its factorization.

1006146993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1006146993 is about 31719.8201917981. The cubic root of 1006146993 is about 1002.0448135542.

The spelling of 1006146993 in words is "one billion, six million, one hundred forty-six thousand, nine hundred ninety-three".