86466600 has 216 divisors, whose sum is σ = 319986030. Its totient is φ = 20908800.

The previous prime is 86466599. The next prime is 86466613. The reversal of 86466600 is 666468.

It can be written as a sum of positive squares in 3 ways, for example, as 70257924 + 16208676 = 8382^2 + 4026^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 217602 + ... + 217998.

Almost surely, 2^86466600 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 86466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159993015).

86466600 is an abundant number, since it is smaller than the sum of its proper divisors (233519430).

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

86466600 is a wasteful number, since it uses less digits than its factorization.

86466600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

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

The square root of 86466600 is about 9298.7418503795. The cubic root of 86466600 is about 442.1973416340.

The spelling of 86466600 in words is "eighty-six million, four hundred sixty-six thousand, six hundred".