86787856 has 45 divisors (see below), whose sum is σ = 179937919. Its totient is φ = 40543232.

The previous prime is 86787791. The next prime is 86787859. The reversal of 86787856 is 65878768.

86787856 = 1³ + 2³ + ... + 136³.

The square root of 86787856 is 9316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12138256 + 74649600 = 3484^2 + 8640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86787797 and 86787806.

It is not an unprimeable number, because it can be changed into a prime (86787859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 633420 + ... + 633556.

Almost surely, 2^86787856 is an apocalyptic number.

86787856 is the 9316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86787856

86787856 is an abundant number, since it is smaller than the sum of its proper divisors (93150063).

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

86787856 is a wasteful number, since it uses less digits than its factorization.

86787856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The cubic root of 86787856 is about 442.7443080455.

The spelling of 86787856 in words is "eighty-six million, seven hundred eighty-seven thousand, eight hundred fifty-six".