86446800 has 360 divisors, whose sum is σ = 341808480. Its totient is φ = 20044800.

The previous prime is 86446799. The next prime is 86446897. The reversal of 86446800 is 864468.

86446800 is a `hidden beast` number, since 8 + 644 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1465171 + ... + 1465229.

It is an arithmetic number, because the mean of its divisors is an integer number (949468).

Almost surely, 2^86446800 is an apocalyptic number.

86446800 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 86446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170904240).

86446800 is an abundant number, since it is smaller than the sum of its proper divisors (255361680).

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

86446800 is a wasteful number, since it uses less digits than its factorization.

86446800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86446800 is about 9297.6771292619. The cubic root of 86446800 is about 442.1635861116.

Multiplying 86446800 by its reverse (864468), we get a square (74730492302400 = 8644680²).

86446800 divided by its reverse (864468) gives a square (100 = 10²).

The spelling of 86446800 in words is "eighty-six million, four hundred forty-six thousand, eight hundred".