86877056 has 64 divisors (see below), whose sum is σ = 202106880. Its totient is φ = 36423168.

The previous prime is 86876989. The next prime is 86877059. The reversal of 86877056 is 65077868.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 86877056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86877059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41081 + ... + 43143.

It is an arithmetic number, because the mean of its divisors is an integer number (3157920).

Almost surely, 2^86877056 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 86877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101053440).

86877056 is an abundant number, since it is smaller than the sum of its proper divisors (115229824).

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

86877056 is a wasteful number, since it uses less digits than its factorization.

86877056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 86877056 is about 9320.7862329312. The cubic root of 86877056 is about 442.8959393592.

The spelling of 86877056 in words is "eighty-six million, eight hundred seventy-seven thousand, fifty-six".