1867884960 has 144 divisors (see below), whose sum is σ = 5996537568. Its totient is φ = 488632320.

The previous prime is 1867884917. The next prime is 1867884973. The reversal of 1867884960 is 694887681.

It is a self number, because there is not a number n which added to its sum of digits gives 1867884960.

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, 7750440 + ... + 7750680.

It is an arithmetic number, because the mean of its divisors is an integer number (41642622).

Almost surely, 2^1867884960 is an apocalyptic number.

1867884960 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 1867884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998268784).

1867884960 is an abundant number, since it is smaller than the sum of its proper divisors (4128652608).

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

1867884960 is an equidigital number, since it uses as much as digits as its factorization.

1867884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 1867884960 is about 43219.0346953747. The cubic root of 1867884960 is about 1231.5443091788.

The spelling of 1867884960 in words is "one billion, eight hundred sixty-seven million, eight hundred eighty-four thousand, nine hundred sixty".