87536400 has 240 divisors, whose sum is σ = 339871104. Its totient is φ = 18800640.

The previous prime is 87536381. The next prime is 87536411. The reversal of 87536400 is 463578.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 142494 + ... + 143106.

Almost surely, 2^87536400 is an apocalyptic number.

87536400 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 87536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169935552).

87536400 is an abundant number, since it is smaller than the sum of its proper divisors (252334704).

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

87536400 is a wasteful number, since it uses less digits than its factorization.

87536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 87536400 is about 9356.0889264692. The cubic root of 87536400 is about 444.0135536809.

Adding to 87536400 its reverse (463578), we get a palindrome (87999978).

The spelling of 87536400 in words is "eighty-seven million, five hundred thirty-six thousand, four hundred".