86664600 has 192 divisors, whose sum is σ = 325872000. Its totient is φ = 20995200.

The previous prime is 86664587. The next prime is 86664601. The reversal of 86664600 is 646668.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86664601) 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, 58671 + ... + 60129.

It is an arithmetic number, because the mean of its divisors is an integer number (1697250).

Almost surely, 2^86664600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162936000).

86664600 is an abundant number, since it is smaller than the sum of its proper divisors (239207400).

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

86664600 is a wasteful number, since it uses less digits than its factorization.

86664600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86664600 is about 9309.3823640454. The cubic root of 86664600 is about 442.5346137818.

The spelling of 86664600 in words is "eighty-six million, six hundred sixty-four thousand, six hundred".