611124816 has 80 divisors (see below), whose sum is σ = 1672432640. Its totient is φ = 191756160.

The previous prime is 611124799. The next prime is 611124827. The reversal of 611124816 is 618421116.

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 15 ways as a sum of consecutive naturals, for example, 146601 + ... + 150711.

It is an arithmetic number, because the mean of its divisors is an integer number (20905408).

Almost surely, 2^611124816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611124816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836216320).

611124816 is an abundant number, since it is smaller than the sum of its proper divisors (1061307824).

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

611124816 is a wasteful number, since it uses less digits than its factorization.

611124816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 611124816 is about 24720.9388171242. The cubic root of 611124816 is about 848.6135719025.

The spelling of 611124816 in words is "six hundred eleven million, one hundred twenty-four thousand, eight hundred sixteen".