1661295360 has 144 divisors (see below), whose sum is σ = 5366481120. Its totient is φ = 437944320.

The previous prime is 1661295347. The next prime is 1661295367. The reversal of 1661295360 is 635921661.

1661295360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1661295367) 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 15 ways as a sum of consecutive naturals, for example, 339330 + ... + 344190.

It is an arithmetic number, because the mean of its divisors is an integer number (37267230).

Almost surely, 2^1661295360 is an apocalyptic number.

1661295360 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 1661295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683240560).

1661295360 is an abundant number, since it is smaller than the sum of its proper divisors (3705185760).

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

1661295360 is an equidigital number, since it uses as much as digits as its factorization.

1661295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1661295360 is about 40758.9911553267. The cubic root of 1661295360 is about 1184.3560531310.

The spelling of 1661295360 in words is "one billion, six hundred sixty-one million, two hundred ninety-five thousand, three hundred sixty".