86688000 has 432 divisors, whose sum is σ = 364780416. Its totient is φ = 19353600.

The previous prime is 86687999. The next prime is 86688001. The reversal of 86688000 is 88668.

It is an interprime number because it is at equal distance from previous prime (86687999) and next prime (86688001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86688001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015979 + ... + 2016021.

Almost surely, 2^86688000 is an apocalyptic number.

86688000 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 86688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182390208).

86688000 is an abundant number, since it is smaller than the sum of its proper divisors (278092416).

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

86688000 is a wasteful number, since it uses less digits than its factorization.

86688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86688000 is about 9310.6390758100. The cubic root of 86688000 is about 442.5744392627.

The spelling of 86688000 in words is "eighty-six million, six hundred eighty-eight thousand".