1950966360 has 288 divisors, whose sum is σ = 7765383600. Its totient is φ = 422392320.

The previous prime is 1950966343. The next prime is 1950966389. The reversal of 1950966360 is 636690591.

1950966360 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 9 + 6 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 332250 + ... + 338070.

Almost surely, 2^1950966360 is an apocalyptic number.

1950966360 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 1950966360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882691800).

1950966360 is an abundant number, since it is smaller than the sum of its proper divisors (5814417240).

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

1950966360 is a wasteful number, since it uses less digits than its factorization.

1950966360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 1950966360 is about 44169.7448487084. The cubic root of 1950966360 is about 1249.5393203736.

The spelling of 1950966360 in words is "one billion, nine hundred fifty million, nine hundred sixty-six thousand, three hundred sixty".