1966599360 has 336 divisors, whose sum is σ = 7702905600. Its totient is φ = 455854080.

The previous prime is 1966599347. The next prime is 1966599361. The reversal of 1966599360 is 639956691.

It is a happy number.

1966599360 is a `hidden beast` number, since 19 + 6 + 6 + 599 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1966599297 and 1966599306.

It is not an unprimeable number, because it can be changed into a prime (1966599361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727291 + ... + 729989.

Almost surely, 2^1966599360 is an apocalyptic number.

1966599360 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 1966599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851452800).

1966599360 is an abundant number, since it is smaller than the sum of its proper divisors (5736306240).

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

1966599360 is a wasteful number, since it uses less digits than its factorization.

1966599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 1966599360 is about 44346.3567838441. The cubic root of 1966599360 is about 1252.8679450141.

It can be divided in two parts, 19665 and 99360, that added together give a square (119025 = 345²).

The spelling of 1966599360 in words is "one billion, nine hundred sixty-six million, five hundred ninety-nine thousand, three hundred sixty".