87675200 has 84 divisors (see below), whose sum is σ = 221716092. Its totient is φ = 34099200.

The previous prime is 87675193. The next prime is 87675229. The reversal of 87675200 is 257678.

It can be written as a sum of positive squares in 6 ways, for example, as 215296 + 87459904 = 464^2 + 9352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58460 + ... + 59940.

Almost surely, 2^87675200 is an apocalyptic number.

87675200 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 87675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110858046).

87675200 is an abundant number, since it is smaller than the sum of its proper divisors (134040892).

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

87675200 is a wasteful number, since it uses less digits than its factorization.

87675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 87675200 is about 9363.5036177704. The cubic root of 87675200 is about 444.2481095775.

The spelling of 87675200 in words is "eighty-seven million, six hundred seventy-five thousand, two hundred".