87418200 has 96 divisors (see below), whose sum is σ = 276210000. Its totient is φ = 22863360.

The previous prime is 87418189. The next prime is 87418211. The reversal of 87418200 is 281478.

It is an interprime number because it is at equal distance from previous prime (87418189) and next prime (87418211).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30426 + ... + 33174.

Almost surely, 2^87418200 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 87418200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138105000).

87418200 is an abundant number, since it is smaller than the sum of its proper divisors (188791800).

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

87418200 is a wasteful number, since it uses less digits than its factorization.

87418200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 87418200 is about 9349.7700506483. The cubic root of 87418200 is about 443.8136138386.

Adding to 87418200 its reverse (281478), we get a palindrome (87699678).

The spelling of 87418200 in words is "eighty-seven million, four hundred eighteen thousand, two hundred".