87350200 has 96 divisors (see below), whose sum is σ = 237663360. Its totient is φ = 29232000.

The previous prime is 87350191. The next prime is 87350227. The reversal of 87350200 is 205378.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 59475 + ... + 60925.

It is an arithmetic number, because the mean of its divisors is an integer number (2475660).

Almost surely, 2^87350200 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 87350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831680).

87350200 is an abundant number, since it is smaller than the sum of its proper divisors (150313160).

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

87350200 is a wasteful number, since it uses less digits than its factorization.

87350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 87350200 is about 9346.1328901316. The cubic root of 87350200 is about 443.6985075475.

Adding to 87350200 its reverse (205378), we get a palindrome (87555578).

The spelling of 87350200 in words is "eighty-seven million, three hundred fifty thousand, two hundred".