87856416 has 72 divisors (see below), whose sum is σ = 252265104. Its totient is φ = 29001600.

The previous prime is 87856411. The next prime is 87856429. The reversal of 87856416 is 61465878.

It is a happy number.

87856416 is a `hidden beast` number, since 8 + 78 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (87856411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29391 + ... + 32241.

It is an arithmetic number, because the mean of its divisors is an integer number (3503682).

Almost surely, 2^87856416 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 87856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126132552).

87856416 is an abundant number, since it is smaller than the sum of its proper divisors (164408688).

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

87856416 is a wasteful number, since it uses less digits than its factorization.

87856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2963 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 87856416 is about 9373.1753424333. The cubic root of 87856416 is about 444.5539713028.

The spelling of 87856416 in words is "eighty-seven million, eight hundred fifty-six thousand, four hundred sixteen".