87489600 has 168 divisors, whose sum is σ = 313322208. Its totient is φ = 21196800.

The previous prime is 87489569. The next prime is 87489641. The reversal of 87489600 is 698478.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51972 + ... + 53628.

Almost surely, 2^87489600 is an apocalyptic number.

87489600 is a gapful number since it is divisible by the number (80) 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 87489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156661104).

87489600 is an abundant number, since it is smaller than the sum of its proper divisors (225832608).

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

87489600 is a wasteful number, since it uses less digits than its factorization.

87489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87489600 is about 9353.5875470324. The cubic root of 87489600 is about 443.9344112189.

The spelling of 87489600 in words is "eighty-seven million, four hundred eighty-nine thousand, six hundred".