86786964 has 72 divisors (see below), whose sum is σ = 248215968. Its totient is φ = 26295840.

The previous prime is 86786963. The next prime is 86786969. The reversal of 86786964 is 46968768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86786964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86786963) 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 23 ways as a sum of consecutive naturals, for example, 6634 + ... + 14750.

It is an arithmetic number, because the mean of its divisors is an integer number (3447444).

Almost surely, 2^86786964 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 86786964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124107984).

86786964 is an abundant number, since it is smaller than the sum of its proper divisors (161429004).

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

86786964 is a wasteful number, since it uses less digits than its factorization.

86786964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8133 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86786964 is about 9315.9521252527. The cubic root of 86786964 is about 442.7427912078.

The spelling of 86786964 in words is "eighty-six million, seven hundred eighty-six thousand, nine hundred sixty-four".