87468200 has 48 divisors (see below), whose sum is σ = 204345180. Its totient is φ = 34818560.

The previous prime is 87468193. The next prime is 87468203. The reversal of 87468200 is 286478.

It can be written as a sum of positive squares in 6 ways, for example, as 23755876 + 63712324 = 4874^2 + 7982^2 .

It is a super-2 number, since 2×87468200² = 15301372022480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87468203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45662 + ... + 47538.

Almost surely, 2^87468200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102172590).

87468200 is an abundant number, since it is smaller than the sum of its proper divisors (116876980).

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

87468200 is a wasteful number, since it uses less digits than its factorization.

87468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 87468200 is about 9352.4435309709. The cubic root of 87468200 is about 443.8982127409.

The spelling of 87468200 in words is "eighty-seven million, four hundred sixty-eight thousand, two hundred".