611488640 has 384 divisors, whose sum is σ = 1908852480. Its totient is φ = 185794560.

The previous prime is 611488627. The next prime is 611488663. The reversal of 611488640 is 46884116.

611488640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 611488594 and 611488603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16526702 + ... + 16526738.

It is an arithmetic number, because the mean of its divisors is an integer number (4970970).

Almost surely, 2^611488640 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 611488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954426240).

611488640 is an abundant number, since it is smaller than the sum of its proper divisors (1297363840).

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

611488640 is a wasteful number, since it uses less digits than its factorization.

611488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 611488640 is about 24728.2963424495. The cubic root of 611488640 is about 848.7819416186.

The spelling of 611488640 in words is "six hundred eleven million, four hundred eighty-eight thousand, six hundred forty".