611304960 has 320 divisors, whose sum is σ = 2276854272. Its totient is φ = 137035776.

The previous prime is 611304943. The next prime is 611304979. The reversal of 611304960 is 69403116.

611304960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4462012 + ... + 4462148.

Almost surely, 2^611304960 is an apocalyptic number.

611304960 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 611304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138427136).

611304960 is an abundant number, since it is smaller than the sum of its proper divisors (1665549312).

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

611304960 is a wasteful number, since it uses less digits than its factorization.

611304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 611304960 is about 24724.5820996028. The cubic root of 611304960 is about 848.6969469189.

The spelling of 611304960 in words is "six hundred eleven million, three hundred four thousand, nine hundred sixty".