1987968 has 64 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 637440.

The previous prime is 1987939. The next prime is 1987969. The reversal of 1987968 is 8697891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11821 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

2^1987968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

1987968 is an abundant number, since it is smaller than the sum of its proper divisors (3495552).

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

1987968 is a wasteful number, since it uses less digits than its factorization.

1987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 1987968 is about 1409.9531907124. The cubic root of 1987968 is about 125.7389404616.

The spelling of 1987968 in words is "one million, nine hundred eighty-seven thousand, nine hundred sixty-eight".