87552000 has 312 divisors, whose sum is σ = 332226960. Its totient is φ = 22118400.

The previous prime is 87551983. The next prime is 87552037. The reversal of 87552000 is 25578.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 4607991 + ... + 4608009.

It is an arithmetic number, because the mean of its divisors is an integer number (1064830).

Almost surely, 2^87552000 is an apocalyptic number.

87552000 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 87552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166113480).

87552000 is an abundant number, since it is smaller than the sum of its proper divisors (244674960).

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

87552000 is a wasteful number, since it uses less digits than its factorization.

87552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 87552000 is about 9356.9225710166. The cubic root of 87552000 is about 444.0399282329.

Adding to 87552000 its reverse (25578), we get a palindrome (87577578).

The spelling of 87552000 in words is "eighty-seven million, five hundred fifty-two thousand".