1006788258 has 32 divisors (see below), whose sum is σ = 2556923520. Its totient is φ = 287653680.

The previous prime is 1006788239. The next prime is 1006788287. The reversal of 1006788258 is 8528876001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331353 + ... + 1332108.

It is an arithmetic number, because the mean of its divisors is an integer number (79903860).

Almost surely, 2^1006788258 is an apocalyptic number.

1006788258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1006788258 is an abundant number, since it is smaller than the sum of its proper divisors (1550135262).

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

1006788258 is a wasteful number, since it uses less digits than its factorization.

1006788258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663479 (or 2663473 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1006788258 is about 31729.9268514757. The cubic root of 1006788258 is about 1002.2576518391.

The spelling of 1006788258 in words is "one billion, six million, seven hundred eighty-eight thousand, two hundred fifty-eight".