86606976 has 64 divisors (see below), whose sum is σ = 243600480. Its totient is φ = 27168768.

The previous prime is 86606941. The next prime is 86607011. The reversal of 86606976 is 67960668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86606941) and next prime (86607011).

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 13161.

Almost surely, 2^86606976 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 86606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121800240).

86606976 is an abundant number, since it is smaller than the sum of its proper divisors (156993504).

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

86606976 is a wasteful number, since it uses less digits than its factorization.

86606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13301 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 86606976 is about 9306.2869072472. The cubic root of 86606976 is about 442.4365104097.

The spelling of 86606976 in words is "eighty-six million, six hundred six thousand, nine hundred seventy-six".