86513616 has 240 divisors, whose sum is σ = 297986880. Its totient is φ = 23950080.

The previous prime is 86513597. The next prime is 86513633. The reversal of 86513616 is 61631568.

It is a happy number.

86513616 is a `hidden beast` number, since 86 + 513 + 61 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1291215 + ... + 1291281.

It is an arithmetic number, because the mean of its divisors is an integer number (1241612).

Almost surely, 2^86513616 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 86513616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148993440).

86513616 is an abundant number, since it is smaller than the sum of its proper divisors (211473264).

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

86513616 is a wasteful number, since it uses less digits than its factorization.

86513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

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

The square root of 86513616 is about 9301.2695907602. The cubic root of 86513616 is about 442.2774750154.

The spelling of 86513616 in words is "eighty-six million, five hundred thirteen thousand, six hundred sixteen".