1868967360 has 168 divisors, whose sum is σ = 6923105280. Its totient is φ = 460044288.

The previous prime is 1868967343. The next prime is 1868967409. The reversal of 1868967360 is 637698681.

It is a happy number.

1868967360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1868967297 and 1868967306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12481 + ... + 62399.

It is an arithmetic number, because the mean of its divisors is an integer number (41208960).

Almost surely, 2^1868967360 is an apocalyptic number.

1868967360 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 1868967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461552640).

1868967360 is an abundant number, since it is smaller than the sum of its proper divisors (5054137920).

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

1868967360 is a wasteful number, since it uses less digits than its factorization.

1868967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49955 (or 49942 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1868967360 is about 43231.5551420487. Note that the first 3 decimals coincide. The cubic root of 1868967360 is about 1231.7821479082.

The spelling of 1868967360 in words is "one billion, eight hundred sixty-eight million, nine hundred sixty-seven thousand, three hundred sixty".