87225696 has 144 divisors (see below), whose sum is σ = 260048880. Its totient is φ = 27709440.

The previous prime is 87225673. The next prime is 87225709. The reversal of 87225696 is 69652278.

87225696 is a `hidden beast` number, since 87 + 2 + 2 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980020 + ... + 980108.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^87225696 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 87225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024440).

87225696 is an abundant number, since it is smaller than the sum of its proper divisors (172823184).

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

87225696 is a wasteful number, since it uses less digits than its factorization.

87225696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 87225696 is about 9339.4697922312. The cubic root of 87225696 is about 443.4875997833.

The spelling of 87225696 in words is "eighty-seven million, two hundred twenty-five thousand, six hundred ninety-six".