86777136 has 160 divisors (see below), whose sum is σ = 262929600. Its totient is φ = 27371520.

The previous prime is 86777101. The next prime is 86777143. The reversal of 86777136 is 63177768.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86777091 and 86777100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 974980 + ... + 975068.

It is an arithmetic number, because the mean of its divisors is an integer number (1643310).

Almost surely, 2^86777136 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 86777136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131464800).

86777136 is an abundant number, since it is smaller than the sum of its proper divisors (176152464).

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

86777136 is a wasteful number, since it uses less digits than its factorization.

86777136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 86777136 is about 9315.4246280027. The cubic root of 86777136 is about 442.7260780971.

The spelling of 86777136 in words is "eighty-six million, seven hundred seventy-seven thousand, one hundred thirty-six".