86276916 has 72 divisors (see below), whose sum is σ = 239226624. Its totient is φ = 26000640.

The previous prime is 86276909. The next prime is 86276917. The reversal of 86276916 is 61967268.

86276916 is a `hidden beast` number, since 8 + 627 + 6 + 9 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86276917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87820 + ... + 88796.

It is an arithmetic number, because the mean of its divisors is an integer number (3322592).

Almost surely, 2^86276916 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 86276916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119613312).

86276916 is an abundant number, since it is smaller than the sum of its proper divisors (152949708).

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

86276916 is a wasteful number, since it uses less digits than its factorization.

86276916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1216 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 86276916 is about 9288.5368061929. The cubic root of 86276916 is about 441.8737516761.

The spelling of 86276916 in words is "eighty-six million, two hundred seventy-six thousand, nine hundred sixteen".