1987167168 has 210 divisors, whose sum is σ = 6853190256. Its totient is φ = 567689472.

The previous prime is 1987167151. The next prime is 1987167181. The reversal of 1987167168 is 8617617891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 250105 + ... + 257927.

Almost surely, 2^1987167168 is an apocalyptic number.

1987167168 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 1987167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426595128).

1987167168 is an abundant number, since it is smaller than the sum of its proper divisors (4866023088).

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

1987167168 is an equidigital number, since it uses as much as digits as its factorization.

1987167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7835 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 1987167168 is about 44577.6532356740. The cubic root of 1987167168 is about 1257.2205399065.

The spelling of 1987167168 in words is "one billion, nine hundred eighty-seven million, one hundred sixty-seven thousand, one hundred sixty-eight".