86071200 has 72 divisors (see below), whose sum is σ = 280169568. Its totient is φ = 22951680.

The previous prime is 86071199. The next prime is 86071201. The reversal of 86071200 is 217068.

It is an interprime number because it is at equal distance from previous prime (86071199) and next prime (86071201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (86071201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15532 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (3891244).

Almost surely, 2^86071200 is an apocalyptic number.

86071200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86071200 is an abundant number, since it is smaller than the sum of its proper divisors (194098368).

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

86071200 is a wasteful number, since it uses less digits than its factorization.

86071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35886 (or 35873 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 86071200 is about 9277.4565479985. The cubic root of 86071200 is about 441.5222754932.

Adding to 86071200 its reverse (217068), we get a palindrome (86288268).

The spelling of 86071200 in words is "eighty-six million, seventy-one thousand, two hundred".