1887187968 has 132 divisors (see below), whose sum is σ = 5482611108. Its totient is φ = 625213440.

The previous prime is 1887187949. The next prime is 1887187979. The reversal of 1887187968 is 8697817881.

It can be written as a sum of positive squares in 2 ways, for example, as 840536064 + 1046651904 = 28992^2 + 32352^2 .

It is a super-2 number, since 2×1887187968² = 7122956853127938048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1778158 + ... + 1779218.

Almost surely, 2^1887187968 is an apocalyptic number.

1887187968 is a gapful number since it is divisible by the number (18) 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 1887187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741305554).

1887187968 is an abundant number, since it is smaller than the sum of its proper divisors (3595423140).

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

1887187968 is a wasteful number, since it uses less digits than its factorization.

1887187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1259 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 63.

The square root of 1887187968 is about 43441.7767592441. The cubic root of 1887187968 is about 1235.7721011305.

The spelling of 1887187968 in words is "one billion, eight hundred eighty-seven million, one hundred eighty-seven thousand, nine hundred sixty-eight".