86616600 has 192 divisors, whose sum is σ = 314979840. Its totient is φ = 19276800.

The previous prime is 86616589. The next prime is 86616631. The reversal of 86616600 is 661668.

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, 171949 + ... + 172451.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^86616600 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 86616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

86616600 is an abundant number, since it is smaller than the sum of its proper divisors (228363240).

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

86616600 is a wasteful number, since it uses less digits than its factorization.

86616600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86616600 is about 9306.8039626931. The cubic root of 86616600 is about 442.4528980475.

The spelling of 86616600 in words is "eighty-six million, six hundred sixteen thousand, six hundred".