611032320 has 432 divisors, whose sum is σ = 2295820800. Its totient is φ = 149667840.

The previous prime is 611032313. The next prime is 611032321. The reversal of 611032320 is 23230116.

611032320 is a `hidden beast` number, since 611 + 0 + 32 + 3 + 20 = 666.

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 = 611032293 and 611032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611032321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10356451 + ... + 10356509.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2^611032320 is an apocalyptic number.

611032320 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 611032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147910400).

611032320 is an abundant number, since it is smaller than the sum of its proper divisors (1684788480).

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

611032320 is a wasteful number, since it uses less digits than its factorization.

611032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

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

The square root of 611032320 is about 24719.0679435937. The cubic root of 611032320 is about 848.5707561419.

Adding to 611032320 its reverse (23230116), we get a palindrome (634262436).

The spelling of 611032320 in words is "six hundred eleven million, thirty-two thousand, three hundred twenty".