1616787216 has 400 divisors, whose sum is σ = 5531074560. Its totient is φ = 450696960.

The previous prime is 1616787209. The next prime is 1616787217. The reversal of 1616787216 is 6127876161.

1616787216 is a `hidden beast` number, since 1 + 616 + 7 + 8 + 7 + 21 + 6 = 666.

It is a super-2 number, since 2×1616787216² = 5228001803642061312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (169344) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (1616787217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12730545 + ... + 12730671.

Almost surely, 2^1616787216 is an apocalyptic number.

1616787216 is a gapful number since it is divisible by the number (16) 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 1616787216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765537280).

1616787216 is an abundant number, since it is smaller than the sum of its proper divisors (3914287344).

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

1616787216 is a wasteful number, since it uses less digits than its factorization.

1616787216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1616787216 is about 40209.2926572950. The cubic root of 1616787216 is about 1173.6833819839.

The spelling of 1616787216 in words is "one billion, six hundred sixteen million, seven hundred eighty-seven thousand, two hundred sixteen".