87461856 has 120 divisors (see below), whose sum is σ = 263816784. Its totient is φ = 28408320.

The previous prime is 87461851. The next prime is 87461863. The reversal of 87461856 is 65816478.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87461851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105861 + ... + 106683.

Almost surely, 2^87461856 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 87461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131908392).

87461856 is an abundant number, since it is smaller than the sum of its proper divisors (176354928).

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

87461856 is a wasteful number, since it uses less digits than its factorization.

87461856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 869 counting only the distinct ones).

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

The square root of 87461856 is about 9352.1043621209. The cubic root of 87461856 is about 443.8874806183.

The spelling of 87461856 in words is "eighty-seven million, four hundred sixty-one thousand, eight hundred fifty-six".