87532800 has 216 divisors, whose sum is σ = 298064256. Its totient is φ = 22609920.

The previous prime is 87532771. The next prime is 87532801. The reversal of 87532800 is 823578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87532801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902352 + ... + 902448.

Almost surely, 2^87532800 is an apocalyptic number.

87532800 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 87532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149032128).

87532800 is an abundant number, since it is smaller than the sum of its proper divisors (210531456).

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

87532800 is a wasteful number, since it uses less digits than its factorization.

87532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87532800 is about 9355.8965364095. The cubic root of 87532800 is about 444.0074668008.

The spelling of 87532800 in words is "eighty-seven million, five hundred thirty-two thousand, eight hundred".