1868031360 has 576 divisors, whose sum is σ = 7425334800. Its totient is φ = 431308800.

The previous prime is 1868031331. The next prime is 1868031401. The reversal of 1868031360 is 631308681.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18495310 + ... + 18495410.

Almost surely, 2^1868031360 is an apocalyptic number.

1868031360 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 1868031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712667400).

1868031360 is an abundant number, since it is smaller than the sum of its proper divisors (5557303440).

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

1868031360 is a wasteful number, since it uses less digits than its factorization.

1868031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

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

The square root of 1868031360 is about 43220.7283603597. The cubic root of 1868031360 is about 1231.5764834259.

The spelling of 1868031360 in words is "one billion, eight hundred sixty-eight million, thirty-one thousand, three hundred sixty".