86609600 has 336 divisors, whose sum is σ = 287243520. Its totient is φ = 24883200.

The previous prime is 86609597. The next prime is 86609617. The reversal of 86609600 is 690668.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 2340782 + ... + 2340818.

Almost surely, 2^86609600 is an apocalyptic number.

86609600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

86609600 is an abundant number, since it is smaller than the sum of its proper divisors (200633920).

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

86609600 is a wasteful number, since it uses less digits than its factorization.

86609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 86609600 is about 9306.4278861441. The cubic root of 86609600 is about 442.4409786474.

The spelling of 86609600 in words is "eighty-six million, six hundred nine thousand, six hundred".