86600610 has 64 divisors (see below), whose sum is σ = 236597760. Its totient is φ = 22527360.

The previous prime is 86600599. The next prime is 86600611. The reversal of 86600610 is 1600668.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86600611) 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 31 ways as a sum of consecutive naturals, for example, 7159 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (3696840).

Almost surely, 2^86600610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86600610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118298880).

86600610 is an abundant number, since it is smaller than the sum of its proper divisors (149997150).

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

86600610 is a wasteful number, since it uses less digits than its factorization.

86600610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86600610 is about 9305.9448741114. The cubic root of 86600610 is about 442.4256697901.

The spelling of 86600610 in words is "eighty-six million, six hundred thousand, six hundred ten".