1987679200 has 72 divisors (see below), whose sum is σ = 5225712408. Its totient is φ = 733908480.

The previous prime is 1987679179. The next prime is 1987679203. The reversal of 1987679200 is 29767891.

It is a happy number.

It is a super-2 number, since 2×1987679200² = 7901737204225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987679203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 85162 + ... + 105961.

It is an arithmetic number, because the mean of its divisors is an integer number (72579339).

Almost surely, 2^1987679200 is an apocalyptic number.

1987679200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1987679200 is an abundant number, since it is smaller than the sum of its proper divisors (3238033208).

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

1987679200 is a wasteful number, since it uses less digits than its factorization.

1987679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191156 (or 191143 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The square root of 1987679200 is about 44583.3960124170. The cubic root of 1987679200 is about 1257.3285130177.

The spelling of 1987679200 in words is "one billion, nine hundred eighty-seven million, six hundred seventy-nine thousand, two hundred".