86653600 has 144 divisors (see below), whose sum is σ = 237172320. Its totient is φ = 30643200.

The previous prime is 86653597. The next prime is 86653601. The reversal of 86653600 is 635668.

It is not an unprimeable number, because it can be changed into a prime (86653601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 378286 + ... + 378514.

It is an arithmetic number, because the mean of its divisors is an integer number (1647030).

Almost surely, 2^86653600 is an apocalyptic number.

86653600 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 86653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118586160).

86653600 is an abundant number, since it is smaller than the sum of its proper divisors (150518720).

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

86653600 is a wasteful number, since it uses less digits than its factorization.

86653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 86653600 is about 9308.7915434819. The cubic root of 86653600 is about 442.5158899249.

The spelling of 86653600 in words is "eighty-six million, six hundred fifty-three thousand, six hundred".