1006022160 has 320 divisors, whose sum is σ = 4072239360. Its totient is φ = 225054720.

The previous prime is 1006022123. The next prime is 1006022177. The reversal of 1006022160 is 612206001.

It is a happy number.

1006022160 is a `hidden beast` number, since 1 + 0 + 0 + 602 + 2 + 1 + 60 = 666.

It is a super-2 number, since 2×1006022160² = 2024161172822131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 307252 + ... + 310508.

It is an arithmetic number, because the mean of its divisors is an integer number (12725748).

Almost surely, 2^1006022160 is an apocalyptic number.

1006022160 is a gapful number since it is divisible by the number (10) 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 1006022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036119680).

1006022160 is an abundant number, since it is smaller than the sum of its proper divisors (3066217200).

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

1006022160 is a wasteful number, since it uses less digits than its factorization.

1006022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006022160 is about 31717.8523863139. The cubic root of 1006022160 is about 1002.0033704932.

Adding to 1006022160 its reverse (612206001), we get a palindrome (1618228161).

The spelling of 1006022160 in words is "one billion, six million, twenty-two thousand, one hundred sixty".