611020116 has 144 divisors (see below), whose sum is σ = 1881944064. Its totient is φ = 163361088.

The previous prime is 611020099. The next prime is 611020117.

611020116 = 144² + 145² + ... + 1224².

611020116 is nontrivially palindromic in base 10.

611020116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611020117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271291 + ... + 273533.

It is an arithmetic number, because the mean of its divisors is an integer number (13069056).

Almost surely, 2^611020116 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 611020116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940972032).

611020116 is an abundant number, since it is smaller than the sum of its proper divisors (1270923948).

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

611020116 is a wasteful number, since it uses less digits than its factorization.

611020116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 611020116 is about 24718.8210883934. The cubic root of 611020116 is about 848.5651066718.

The spelling of 611020116 in words is "six hundred eleven million, twenty thousand, one hundred sixteen".