87530400 has 108 divisors (see below), whose sum is σ = 308679462. Its totient is φ = 23339520.

The previous prime is 87530371. The next prime is 87530423. The reversal of 87530400 is 403578.

It can be written as a sum of positive squares in 3 ways, for example, as 40908816 + 46621584 = 6396^2 + 6828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122 + ... + 13278.

Almost surely, 2^87530400 is an apocalyptic number.

87530400 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 87530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154339731).

87530400 is an abundant number, since it is smaller than the sum of its proper divisors (221149062).

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

87530400 is a wasteful number, since it uses less digits than its factorization.

87530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 87530400 is about 9355.7682741718. The cubic root of 87530400 is about 444.0034087880.

Adding to 87530400 its reverse (403578), we get a palindrome (87933978).

The spelling of 87530400 in words is "eighty-seven million, five hundred thirty thousand, four hundred".