86766400 has 168 divisors, whose sum is σ = 249952256. Its totient is φ = 29030400.

The previous prime is 86766397. The next prime is 86766439. The reversal of 86766400 is 466768.

It is a self number, because there is not a number n which added to its sum of digits gives 86766400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 683137 + ... + 683263.

Almost surely, 2^86766400 is an apocalyptic number.

86766400 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 86766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124976128).

86766400 is an abundant number, since it is smaller than the sum of its proper divisors (163185856).

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

86766400 is a wasteful number, since it uses less digits than its factorization.

86766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 86766400 is about 9314.8483616214. The cubic root of 86766400 is about 442.7078194350.

The spelling of 86766400 in words is "eighty-six million, seven hundred sixty-six thousand, four hundred".