86351616 has 216 divisors, whose sum is σ = 284156880. Its totient is φ = 25712640.

The previous prime is 86351597. The next prime is 86351641. The reversal of 86351616 is 61615368.

It is a happy number.

86351616 is a `hidden beast` number, since 8 + 6 + 35 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×86351616² = 14913203171622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2785521 + ... + 2785551.

Almost surely, 2^86351616 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 86351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142078440).

86351616 is an abundant number, since it is smaller than the sum of its proper divisors (197805264).

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

86351616 is a wasteful number, since it uses less digits than its factorization.

86351616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 86351616 is about 9292.5570216168. The cubic root of 86351616 is about 442.0012421223.

The spelling of 86351616 in words is "eighty-six million, three hundred fifty-one thousand, six hundred sixteen".