87534400 has 42 divisors (see below), whose sum is σ = 215393270. Its totient is φ = 35013120.

The previous prime is 87534397. The next prime is 87534431. The reversal of 87534400 is 443578.

It can be written as a sum of positive squares in 3 ways, for example, as 3041536 + 84492864 = 1744^2 + 9192^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 25755 + ... + 28954.

Almost surely, 2^87534400 is an apocalyptic number.

87534400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87534400 is an abundant number, since it is smaller than the sum of its proper divisors (127858870).

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

87534400 is a wasteful number, since it uses less digits than its factorization.

87534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54731 (or 54716 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 87534400 is about 9355.9820435911. The cubic root of 87534400 is about 444.0101721015.

Adding to 87534400 its reverse (443578), we get a palindrome (87977978).

The spelling of 87534400 in words is "eighty-seven million, five hundred thirty-four thousand, four hundred".