87456 has 24 divisors (see below), whose sum is σ = 229824. Its totient is φ = 29120.

The previous prime is 87443. The next prime is 87473. The reversal of 87456 is 65478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87456.

It is an unprimeable number.

87456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁸⁷⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

87456 is an abundant number, since it is smaller than the sum of its proper divisors (142368).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

87456 is a wasteful number, since it uses less digits than its factorization.

87456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

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

The square root of 87456 is about 295.7296062284. The cubic root of 87456 is about 44.3877573583.

The spelling of 87456 in words is "eighty-seven thousand, four hundred fifty-six".