86334800 has 60 divisors (see below), whose sum is σ = 209571036. Its totient is φ = 34176000.

The previous prime is 86334799. The next prime is 86334821. The reversal of 86334800 is 843368.

It can be written as a sum of positive squares in 6 ways, for example, as 1547536 + 84787264 = 1244^2 + 9208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39332 + ... + 41468.

Almost surely, 2^86334800 is an apocalyptic number.

86334800 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 86334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104785518).

86334800 is an abundant number, since it is smaller than the sum of its proper divisors (123236236).

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

86334800 is a wasteful number, since it uses less digits than its factorization.

86334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 86334800 is about 9291.6521674027. The cubic root of 86334800 is about 441.9725486797.

The spelling of 86334800 in words is "eighty-six million, three hundred thirty-four thousand, eight hundred".