611742912 has 112 divisors (see below), whose sum is σ = 1777544832. Its totient is φ = 184135680.

The previous prime is 611742823. The next prime is 611742913. The reversal of 611742912 is 219247116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (611742913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343368 + ... + 345144.

It is an arithmetic number, because the mean of its divisors is an integer number (15870936).

Almost surely, 2^611742912 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 611742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888772416).

611742912 is an abundant number, since it is smaller than the sum of its proper divisors (1165801920).

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

611742912 is a wasteful number, since it uses less digits than its factorization.

611742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 611742912 is about 24733.4371246699. The cubic root of 611742912 is about 848.8995734436.

The spelling of 611742912 in words is "six hundred eleven million, seven hundred forty-two thousand, nine hundred twelve".