611065728 has 512 divisors, whose sum is σ = 2330496000. Its totient is φ = 153280512.

The previous prime is 611065687. The next prime is 611065739. The reversal of 611065728 is 827560116.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 611065692 and 611065701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120351 + ... + 9120417.

It is an arithmetic number, because the mean of its divisors is an integer number (4551750).

Almost surely, 2^611065728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248000).

611065728 is an abundant number, since it is smaller than the sum of its proper divisors (1719430272).

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

611065728 is a wasteful number, since it uses less digits than its factorization.

611065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 611065728 is about 24719.7436879916. The cubic root of 611065728 is about 848.5862209732.

The spelling of 611065728 in words is "six hundred eleven million, sixty-five thousand, seven hundred twenty-eight".