611105664 has 256 divisors, whose sum is σ = 1953504000. Its totient is φ = 167215104.

The previous prime is 611105659. The next prime is 611105687. The reversal of 611105664 is 466501116.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1612227 + ... + 1612605.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^611105664 is an apocalyptic number.

611105664 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 611105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

611105664 is an abundant number, since it is smaller than the sum of its proper divisors (1342398336).

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

611105664 is a wasteful number, since it uses less digits than its factorization.

611105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 611105664 is about 24720.5514501598. The cubic root of 611105664 is about 848.6047069284.

The spelling of 611105664 in words is "six hundred eleven million, one hundred five thousand, six hundred sixty-four".