87159456 has 96 divisors (see below), whose sum is σ = 255830400. Its totient is φ = 28869120.

The previous prime is 87159439. The next prime is 87159473. The reversal of 87159456 is 65495178.

87159456 is a `hidden beast` number, since 8 + 7 + 1 + 594 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (87159439) and next prime (87159473).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242605 + ... + 242963.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^87159456 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 87159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).

87159456 is an abundant number, since it is smaller than the sum of its proper divisors (168670944).

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

87159456 is a wasteful number, since it uses less digits than its factorization.

87159456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 87159456 is about 9335.9228788588. The cubic root of 87159456 is about 443.3753084923.

The spelling of 87159456 in words is "eighty-seven million, one hundred fifty-nine thousand, four hundred fifty-six".