87452200 has 96 divisors (see below), whose sum is σ = 224271360. Its totient is φ = 31449600.

The previous prime is 87452143. The next prime is 87452237. The reversal of 87452200 is 225478.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279244 + ... + 279556.

It is an arithmetic number, because the mean of its divisors is an integer number (2336160).

Almost surely, 2^87452200 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 87452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112135680).

87452200 is an abundant number, since it is smaller than the sum of its proper divisors (136819160).

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

87452200 is a wasteful number, since it uses less digits than its factorization.

87452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 87452200 is about 9351.5881004244. The cubic root of 87452200 is about 443.8711446007.

Adding to 87452200 its reverse (225478), we get a palindrome (87677678).

The spelling of 87452200 in words is "eighty-seven million, four hundred fifty-two thousand, two hundred".