86220450 has 120 divisors (see below), whose sum is σ = 244190100. Its totient is φ = 22550400.

The previous prime is 86220443. The next prime is 86220467. The reversal of 86220450 is 5402268.

It can be written as a sum of positive squares in 6 ways, for example, as 17214201 + 69006249 = 4149^2 + 8307^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 246876 + ... + 247224.

Almost surely, 2^86220450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86220450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095050).

86220450 is an abundant number, since it is smaller than the sum of its proper divisors (157969650).

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

86220450 is a wasteful number, since it uses less digits than its factorization.

86220450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86220450 is about 9285.4967556938. The cubic root of 86220450 is about 441.7773323417. Note that the first 3 decimals are identical.

It can be divided in two parts, 862 and 20450, that added together give a palindrome (21312).

The spelling of 86220450 in words is "eighty-six million, two hundred twenty thousand, four hundred fifty".