86284800 has 360 divisors, whose sum is σ = 356200416. Its totient is φ = 19537920.

The previous prime is 86284771. The next prime is 86284801. The reversal of 86284800 is 848268.

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

It is a super-2 number, since 2×86284800² = 14890133422080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86284801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806347 + ... + 806453.

Almost surely, 2^86284800 is an apocalyptic number.

86284800 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 86284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

86284800 is an abundant number, since it is smaller than the sum of its proper divisors (269915616).

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

86284800 is a wasteful number, since it uses less digits than its factorization.

86284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86284800 is about 9288.9611905745. The cubic root of 86284800 is about 441.8872107670.

The spelling of 86284800 in words is "eighty-six million, two hundred eighty-four thousand, eight hundred".