1616718880 has 96 divisors (see below), whose sum is σ = 4373550720. Its totient is φ = 553236480.

The previous prime is 1616718877. The next prime is 1616718881. The reversal of 1616718880 is 888176161.

It is a super-2 number, since 2×1616718880² = 5227559873896908800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1616718880.

It is not an unprimeable number, because it can be changed into a prime (1616718881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772876 + ... + 774964.

It is an arithmetic number, because the mean of its divisors is an integer number (45557820).

Almost surely, 2^1616718880 is an apocalyptic number.

1616718880 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 1616718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186775360).

1616718880 is an abundant number, since it is smaller than the sum of its proper divisors (2756831840).

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

1616718880 is a wasteful number, since it uses less digits than its factorization.

1616718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The square root of 1616718880 is about 40208.4428944967. The cubic root of 1616718880 is about 1173.6668459061. Note that the first 3 decimals are identical.

The spelling of 1616718880 in words is "one billion, six hundred sixteen million, seven hundred eighteen thousand, eight hundred eighty".