611605680 has 160 divisors (see below), whose sum is σ = 2196954624. Its totient is φ = 137852928.

The previous prime is 611605619. The next prime is 611605691. The reversal of 611605680 is 86506116.

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, 120147 + ... + 125133.

Almost surely, 2^611605680 is an apocalyptic number.

611605680 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 611605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098477312).

611605680 is an abundant number, since it is smaller than the sum of its proper divisors (1585348944).

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

611605680 is a wasteful number, since it uses less digits than its factorization.

611605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 611605680 is about 24730.6627489034. The cubic root of 611605680 is about 848.8360909489.

The spelling of 611605680 in words is "six hundred eleven million, six hundred five thousand, six hundred eighty".