1611330720 has 288 divisors, whose sum is σ = 5682374208. Its totient is φ = 382427136.

The previous prime is 1611330607. The next prime is 1611330727. The reversal of 1611330720 is 270331161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1611330727) by changing a digit.

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, 2945487 + ... + 2946033.

It is an arithmetic number, because the mean of its divisors is an integer number (19730466).

Almost surely, 2^1611330720 is an apocalyptic number.

1611330720 is a gapful number since it is divisible by the number (10) 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 1611330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841187104).

1611330720 is an abundant number, since it is smaller than the sum of its proper divisors (4071043488).

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

1611330720 is a wasteful number, since it uses less digits than its factorization.

1611330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1611330720 is about 40141.3841315917. The cubic root of 1611330720 is about 1172.3615389557.

Adding to 1611330720 its reverse (270331161), we get a palindrome (1881661881).

The spelling of 1611330720 in words is "one billion, six hundred eleven million, three hundred thirty thousand, seven hundred twenty".