86240000 has 270 divisors, whose sum is σ = 272978244. Its totient is φ = 26880000.

The previous prime is 86239987. The next prime is 86240023. The reversal of 86240000 is 4268.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 29 ways as a sum of consecutive naturals, for example, 7839995 + ... + 7840005.

Almost surely, 2^86240000 is an apocalyptic number.

86240000 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 86240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136489122).

86240000 is an abundant number, since it is smaller than the sum of its proper divisors (186738244).

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

86240000 is an equidigital number, since it uses as much as digits as its factorization.

86240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 86240000 is about 9286.5494129951. The cubic root of 86240000 is about 441.8107199898.

Adding to 86240000 its reverse (4268), we get a palindrome (86244268).

The spelling of 86240000 in words is "eighty-six million, two hundred forty thousand".