987433200 has 360 divisors, whose sum is σ = 3812709840. Its totient is φ = 242611200.

The previous prime is 987433177. The next prime is 987433201. The reversal of 987433200 is 2334789.

987433200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987433201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1824930 + ... + 1825470.

Almost surely, 2^987433200 is an apocalyptic number.

987433200 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 987433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906354920).

987433200 is an abundant number, since it is smaller than the sum of its proper divisors (2825276640).

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

987433200 is a wasteful number, since it uses less digits than its factorization.

987433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 987433200 is about 31423.4498424346. The cubic root of 987433200 is about 995.7933959618.

Adding to 987433200 its reverse (2334789), we get a palindrome (989767989).

The spelling of 987433200 in words is "nine hundred eighty-seven million, four hundred thirty-three thousand, two hundred".