87553000 has 32 divisors (see below), whose sum is σ = 204876360. Its totient is φ = 35020800.

The previous prime is 87552977. The next prime is 87553003. The reversal of 87553000 is 35578.

It can be written as a sum of positive squares in 4 ways, for example, as 38019556 + 49533444 = 6166^2 + 7038^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87553000.

It is not an unprimeable number, because it can be changed into a prime (87553003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42777 + ... + 44776.

Almost surely, 2^87553000 is an apocalyptic number.

It is an amenable number.

87553000 is an abundant number, since it is smaller than the sum of its proper divisors (117323360).

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

87553000 is a wasteful number, since it uses less digits than its factorization.

87553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87574 (or 87560 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 87553000 is about 9356.9760072365. The cubic root of 87553000 is about 444.0416188025.

Adding to 87553000 its reverse (35578), we get a palindrome (87588578).

The spelling of 87553000 in words is "eighty-seven million, five hundred fifty-three thousand".