86646400 has 48 divisors (see below), whose sum is σ = 214051590. Its totient is φ = 34657280.

The previous prime is 86646383. The next prime is 86646421. The reversal of 86646400 is 464668.

It can be written as a sum of positive squares in 3 ways, for example, as 76457536 + 10188864 = 8744^2 + 3192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10339 + ... + 16738.

Almost surely, 2^86646400 is an apocalyptic number.

86646400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86646400 is an abundant number, since it is smaller than the sum of its proper divisors (127405190).

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

86646400 is a wasteful number, since it uses less digits than its factorization.

86646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27101 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 86646400 is about 9308.4048042616. The cubic root of 86646400 is about 442.5036334514.

The spelling of 86646400 in words is "eighty-six million, six hundred forty-six thousand, four hundred".