86032800 has 288 divisors, whose sum is σ = 356227200. Its totient is φ = 19630080.

The previous prime is 86032787. The next prime is 86032813. The reversal of 86032800 is 823068.

It is an interprime number because it is at equal distance from previous prime (86032787) and next prime (86032813).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150916 + ... + 151484.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^86032800 is an apocalyptic number.

86032800 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 86032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

86032800 is an abundant number, since it is smaller than the sum of its proper divisors (270194400).

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

86032800 is a wasteful number, since it uses less digits than its factorization.

86032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86032800 is about 9275.3867843880. The cubic root of 86032800 is about 441.4566051437.

Adding to 86032800 its reverse (823068), we get a palindrome (86855868).

The spelling of 86032800 in words is "eighty-six million, thirty-two thousand, eight hundred".