86664000 has 224 divisors, whose sum is σ = 300508416. Its totient is φ = 21964800.

The previous prime is 86663989. The next prime is 86664007. The reversal of 86664000 is 46668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86664007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551922 + ... + 552078.

Almost surely, 2^86664000 is an apocalyptic number.

86664000 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 86664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150254208).

86664000 is an abundant number, since it is smaller than the sum of its proper divisors (213844416).

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

86664000 is a wasteful number, since it uses less digits than its factorization.

86664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86664000 is about 9309.3501384361. The cubic root of 86664000 is about 442.5335925214.

The spelling of 86664000 in words is "eighty-six million, six hundred sixty-four thousand".