87225600 has 432 divisors, whose sum is σ = 364976640. Its totient is φ = 17817600.

The previous prime is 87225587. The next prime is 87225641. The reversal of 87225600 is 652278.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478371 + ... + 1478429.

Almost surely, 2^87225600 is an apocalyptic number.

87225600 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 87225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

87225600 is an abundant number, since it is smaller than the sum of its proper divisors (277751040).

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

87225600 is a wasteful number, since it uses less digits than its factorization.

87225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87225600 is about 9339.4646527518. The cubic root of 87225600 is about 443.4874370834.

Adding to 87225600 its reverse (652278), we get a palindrome (87877878).

The spelling of 87225600 in words is "eighty-seven million, two hundred twenty-five thousand, six hundred".