86250000 has 160 divisors (see below), whose sum is σ = 290624256. Its totient is φ = 22000000.

The previous prime is 86249981. The next prime is 86250001. The reversal of 86250000 is 5268.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3749989 + ... + 3750011.

Almost surely, 2^86250000 is an apocalyptic number.

86250000 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 86250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145312128).

86250000 is an abundant number, since it is smaller than the sum of its proper divisors (204374256).

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

86250000 is an frugal number, since it uses more digits than its factorization.

86250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 86250000 is about 9287.0878105034. The cubic root of 86250000 is about 441.8277961202.

Adding to 86250000 its reverse (5268), we get a palindrome (86255268).

The spelling of 86250000 in words is "eighty-six million, two hundred fifty thousand".