616641984 has 140 divisors (see below), whose sum is σ = 2089174384. Its totient is φ = 176173056.

The previous prime is 616641967. The next prime is 616641997. The reversal of 616641984 is 489146616.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 27792 + ... + 44784.

Almost surely, 2^616641984 is an apocalyptic number.

616641984 is a gapful number since it is divisible by the number (64) 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 616641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044587192).

616641984 is an abundant number, since it is smaller than the sum of its proper divisors (1472532400).

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

616641984 is a wasteful number, since it uses less digits than its factorization.

616641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17024 (or 17005 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 616641984 is about 24832.2770603100. The cubic root of 616641984 is about 851.1596554549.

The spelling of 616641984 in words is "six hundred sixteen million, six hundred forty-one thousand, nine hundred eighty-four".