86601600 has 288 divisors, whose sum is σ = 322271040. Its totient is φ = 22118400.

The previous prime is 86601577. The next prime is 86601607. The reversal of 86601600 is 610668.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86601607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892752 + ... + 892848.

Almost surely, 2^86601600 is an apocalyptic number.

86601600 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 86601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161135520).

86601600 is an abundant number, since it is smaller than the sum of its proper divisors (235669440).

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

86601600 is a wasteful number, since it uses less digits than its factorization.

86601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

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

The square root of 86601600 is about 9305.9980657638. The cubic root of 86601600 is about 442.4273556895.

The spelling of 86601600 in words is "eighty-six million, six hundred one thousand, six hundred".