87552300 has 144 divisors (see below), whose sum is σ = 283231872. Its totient is φ = 20697600.

The previous prime is 87552259. The next prime is 87552307. The reversal of 87552300 is 325578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87552307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141592 + ... + 142208.

It is an arithmetic number, because the mean of its divisors is an integer number (1966888).

Almost surely, 2^87552300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87552300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141615936).

87552300 is an abundant number, since it is smaller than the sum of its proper divisors (195679572).

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

87552300 is a wasteful number, since it uses less digits than its factorization.

87552300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 87552300 is about 9356.9386019146. The cubic root of 87552300 is about 444.0404354051.

Adding to 87552300 its reverse (325578), we get a palindrome (87877878).

The spelling of 87552300 in words is "eighty-seven million, five hundred fifty-two thousand, three hundred".