611319072 has 384 divisors, whose sum is σ = 2167603200. Its totient is φ = 146313216.

The previous prime is 611319019. The next prime is 611319073. The reversal of 611319072 is 270913116.

It is a super-2 number, since 2×611319072² = 747422015581882368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (611319073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4813473 + ... + 4813599.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^611319072 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 611319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083801600).

611319072 is an abundant number, since it is smaller than the sum of its proper divisors (1556284128).

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

611319072 is a wasteful number, since it uses less digits than its factorization.

611319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 611319072 is about 24724.8674819502. The cubic root of 611319072 is about 848.7034776033.

The spelling of 611319072 in words is "six hundred eleven million, three hundred nineteen thousand, seventy-two".