611320320 has 360 divisors, whose sum is σ = 2307163716. Its totient is φ = 149520384.

The previous prime is 611320313. The next prime is 611320337. The reversal of 611320320 is 23023116.

611320320 is a `hidden beast` number, since 611 + 3 + 20 + 32 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28387584 + 582932736 = 5328^2 + 24144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 611320293 and 611320302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893682 + ... + 3893838.

Almost surely, 2^611320320 is an apocalyptic number.

611320320 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 611320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153581858).

611320320 is an abundant number, since it is smaller than the sum of its proper divisors (1695843396).

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

611320320 is a wasteful number, since it uses less digits than its factorization.

611320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 611320320 is about 24724.8927196864. The cubic root of 611320320 is about 848.7040551419.

Adding to 611320320 its reverse (23023116), we get a palindrome (634343436).

The spelling of 611320320 in words is "six hundred eleven million, three hundred twenty thousand, three hundred twenty".