1600220061 has 24 divisors (see below), whose sum is σ = 2525178240. Its totient is φ = 968438400.

The previous prime is 1600220053. The next prime is 1600220107.

It is a happy number.

1600220061 is a `hidden beast` number, since 1 + 600 + 2 + 2 + 0 + 0 + 61 = 666.

1600220061 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1600220061 - 2³ = 1600220053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59941 + ... + 82421.

It is an arithmetic number, because the mean of its divisors is an integer number (105215760).

Almost surely, 2^1600220061 is an apocalyptic number.

1600220061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1600220061 is a deficient number, since it is larger than the sum of its proper divisors (924958179).

1600220061 is a wasteful number, since it uses less digits than its factorization.

1600220061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23217 (or 23214 counting only the distinct ones).

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

The square root of 1600220061 is about 40002.7506679228. The cubic root of 1600220061 is about 1169.6607146826.

It can be divided in two parts, 16002 and 20061, that added together give a palindrome (36063).

The spelling of 1600220061 in words is "one billion, six hundred million, two hundred twenty thousand, sixty-one".