1868313600 has 660 divisors, whose sum is σ = 7463304684. Its totient is φ = 460062720.

The previous prime is 1868313599. The next prime is 1868313607. The reversal of 1868313600 is 63138681.

1868313600 is a `hidden beast` number, since 18 + 6 + 8 + 31 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26873856 + 1841439744 = 5184^2 + 42912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868313607) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 35251174 + ... + 35251226.

Almost surely, 2^1868313600 is an apocalyptic number.

1868313600 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 1868313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731652342).

1868313600 is an abundant number, since it is smaller than the sum of its proper divisors (5594991084).

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

1868313600 is a wasteful number, since it uses less digits than its factorization.

1868313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1868313600 is about 43223.9933370345. The cubic root of 1868313600 is about 1231.6385064107.

1868313600 divided by its product of nonzero digits (20736) gives a triangular number (90100 = T₄₂₄).

The spelling of 1868313600 in words is "one billion, eight hundred sixty-eight million, three hundred thirteen thousand, six hundred".