1006160832 has 112 divisors (see below), whose sum is σ = 3038063520. Its totient is φ = 326301696.

The previous prime is 1006160821. The next prime is 1006160833. The reversal of 1006160832 is 2380616001.

1006160832 is a `hidden beast` number, since 10 + 0 + 616 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1006160796 and 1006160805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006160833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56068 + ... + 71804.

Almost surely, 2^1006160832 is an apocalyptic number.

1006160832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519031760).

1006160832 is an abundant number, since it is smaller than the sum of its proper divisors (2031902688).

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

1006160832 is a wasteful number, since it uses less digits than its factorization.

1006160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1006160832 is about 31720.0383354119. The cubic root of 1006160832 is about 1002.0494077254.

Adding to 1006160832 its reverse (2380616001), we get a palindrome (3386776833).

The spelling of 1006160832 in words is "one billion, six million, one hundred sixty thousand, eight hundred thirty-two".