87213200 has 60 divisors (see below), whose sum is σ = 214033920. Its totient is φ = 34135680.

The previous prime is 87213193. The next prime is 87213209. The reversal of 87213200 is 231278.

It is a super-2 number, since 2×87213200² = 15212284508480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87213209) 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, 16481 + ... + 21119.

It is an arithmetic number, because the mean of its divisors is an integer number (3567232).

Almost surely, 2^87213200 is an apocalyptic number.

87213200 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 87213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016960).

87213200 is an abundant number, since it is smaller than the sum of its proper divisors (126820720).

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

87213200 is a wasteful number, since it uses less digits than its factorization.

87213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 87213200 is about 9338.8007795434. The cubic root of 87213200 is about 443.4664206814.

Adding to 87213200 its reverse (231278), we get a palindrome (87444478).

The spelling of 87213200 in words is "eighty-seven million, two hundred thirteen thousand, two hundred".