1616361642 has 96 divisors (see below), whose sum is σ = 4162983552. Its totient is φ = 460448064.

The previous prime is 1616361641. The next prime is 1616361653. The reversal of 1616361642 is 2461636161.

It is a happy number.

1616361642 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 6 + 1 + 642 = 666.

It is a super-2 number, since 2×1616361642² = 5225249915457872328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1616361597 and 1616361606.

It is not an unprimeable number, because it can be changed into a prime (1616361641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894488 + ... + 1895340.

It is an arithmetic number, because the mean of its divisors is an integer number (43364412).

Almost surely, 2^1616361642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616361642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081491776).

1616361642 is an abundant number, since it is smaller than the sum of its proper divisors (2546621910).

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

1616361642 is an equidigital number, since it uses as much as digits as its factorization.

1616361642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1616361642 is about 40204.0003233509. Note that the first 3 decimals coincide. The cubic root of 1616361642 is about 1173.5803931761.

The spelling of 1616361642 in words is "one billion, six hundred sixteen million, three hundred sixty-one thousand, six hundred forty-two".