1863336960 has 220 divisors, whose sum is σ = 6678632268. Its totient is φ = 496779264.

The previous prime is 1863336941. The next prime is 1863336961. The reversal of 1863336960 is 696333681.

1863336960 is a `hidden beast` number, since 1 + 8 + 633 + 3 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 418120704 = 38016^2 + 20448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1863336961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412474 + ... + 416966.

Almost surely, 2^1863336960 is an apocalyptic number.

1863336960 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 1863336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339316134).

1863336960 is an abundant number, since it is smaller than the sum of its proper divisors (4815295308).

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

1863336960 is an equidigital number, since it uses as much as digits as its factorization.

1863336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1863336960 is about 43166.3869231605. The cubic root of 1863336960 is about 1230.5439592832.

The spelling of 1863336960 in words is "one billion, eight hundred sixty-three million, three hundred thirty-six thousand, nine hundred sixty".