987012000 has 768 divisors, whose sum is σ = 4182796800. Its totient is φ = 223948800.

The previous prime is 987011989. The next prime is 987012001. The reversal of 987012000 is 210789.

987012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (987012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26675982 + ... + 26676018.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^987012000 is an apocalyptic number.

987012000 is a gapful number since it is divisible by the number (90) 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 987012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

987012000 is an abundant number, since it is smaller than the sum of its proper divisors (3195784800).

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

987012000 is a wasteful number, since it uses less digits than its factorization.

987012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

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

The square root of 987012000 is about 31416.7471263338. The cubic root of 987012000 is about 995.6517871152.

Adding to 987012000 its reverse (210789), we get a palindrome (987222789).

The spelling of 987012000 in words is "nine hundred eighty-seven million, twelve thousand".