1006831872 has 54 divisors (see below), whose sum is σ = 2902951142. Its totient is φ = 335609856.

The previous prime is 1006831849. The next prime is 1006831879. The reversal of 1006831872 is 2781386001.

It can be written as a sum of positive squares in only one way, i.e., 594579456 + 412252416 = 24384^2 + 20304^2 .

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 (1006831879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216193 + ... + 220800.

Almost surely, 2^1006831872 is an apocalyptic number.

1006831872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006831872 is an abundant number, since it is smaller than the sum of its proper divisors (1896119270).

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

1006831872 is an equidigital number, since it uses as much as digits as its factorization.

1006831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437015 (or 436998 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1006831872 is about 31730.6141131873. The cubic root of 1006831872 is about 1002.2721242083.

The spelling of 1006831872 in words is "one billion, six million, eight hundred thirty-one thousand, eight hundred seventy-two".