611218080 has 288 divisors, whose sum is σ = 2326641408. Its totient is φ = 144844800.

The previous prime is 611218073. The next prime is 611218099. The reversal of 611218080 is 80812116.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 744070 + ... + 744890.

It is an arithmetic number, because the mean of its divisors is an integer number (8078616).

Almost surely, 2^611218080 is an apocalyptic number.

611218080 is a gapful number since it is divisible by the number (60) 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 611218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163320704).

611218080 is an abundant number, since it is smaller than the sum of its proper divisors (1715423328).

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

611218080 is a wasteful number, since it uses less digits than its factorization.

611218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 611218080 is about 24722.8250812887. The cubic root of 611218080 is about 848.6567387910.

The spelling of 611218080 in words is "six hundred eleven million, two hundred eighteen thousand, eighty".