87662200 has 192 divisors, whose sum is σ = 241056000. Its totient is φ = 29399040.

The previous prime is 87662171. The next prime is 87662221. The reversal of 87662200 is 226678.

It is a happy number.

It is a super-2 number, since 2×87662200² = 15369322617680000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485771 + ... + 1485829.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^87662200 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 87662200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

87662200 is an abundant number, since it is smaller than the sum of its proper divisors (153393800).

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

87662200 is a wasteful number, since it uses less digits than its factorization.

87662200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 87662200 is about 9362.8094074375. The cubic root of 87662200 is about 444.2261515974.

Adding to 87662200 its reverse (226678), we get a palindrome (87888878).

The spelling of 87662200 in words is "eighty-seven million, six hundred sixty-two thousand, two hundred".