1611859968 has 144 divisors (see below), whose sum is σ = 4693410540. Its totient is φ = 532905984.

The previous prime is 1611859943. The next prime is 1611860021. The reversal of 1611859968 is 8699581161.

It can be written as a sum of positive squares in 2 ways, for example, as 1423401984 + 188457984 = 37728^2 + 13728^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1611859968² = 5196185112881922048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2893546 + ... + 2894102.

Almost surely, 2^1611859968 is an apocalyptic number.

1611859968 is a gapful number since it is divisible by the number (18) 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 1611859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346705270).

1611859968 is an abundant number, since it is smaller than the sum of its proper divisors (3081550572).

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

1611859968 is a wasteful number, since it uses less digits than its factorization.

1611859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 719 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The square root of 1611859968 is about 40147.9758892027. The cubic root of 1611859968 is about 1172.4898805127.

The spelling of 1611859968 in words is "one billion, six hundred eleven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".