1987200 has 192 divisors, whose sum is σ = 7588800. Its totient is φ = 506880.

The previous prime is 1987189. The next prime is 1987201. The reversal of 1987200 is 27891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86389 + ... + 86411.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

2^1987200 is an apocalyptic number.

1987200 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 1987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

1987200 is an abundant number, since it is smaller than the sum of its proper divisors (5601600).

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

1987200 is a wasteful number, since it uses less digits than its factorization.

1987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1987200 is about 1409.6808149365. The cubic root of 1987200 is about 125.7227463806.

It can be divided in two parts, 1987 and 200, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1987200 in words is "one million, nine hundred eighty-seven thousand, two hundred".