86464800 has 144 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 23051520.

The previous prime is 86464793. The next prime is 86464841. The reversal of 86464800 is 846468.

86464800 is a `hidden beast` number, since 8 + 6 + 4 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

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 23 ways as a sum of consecutive naturals, for example, 19599 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^86464800 is an apocalyptic number.

86464800 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 86464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

86464800 is an abundant number, since it is smaller than the sum of its proper divisors (226327680).

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

86464800 is a wasteful number, since it uses less digits than its factorization.

86464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4013 counting only the distinct ones).

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

The square root of 86464800 is about 9298.6450625884. The cubic root of 86464800 is about 442.1942731631.

The spelling of 86464800 in words is "eighty-six million, four hundred sixty-four thousand, eight hundred".