86466468 has 48 divisors (see below), whose sum is σ = 220872960. Its totient is φ = 26109600.

The previous prime is 86466467. The next prime is 86466469.

86466468 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86466467) and next prime (86466469).

It is not an unprimeable number, because it can be changed into a prime (86466461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42703 + ... + 44681.

It is an arithmetic number, because the mean of its divisors is an integer number (4601520).

Almost surely, 2^86466468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86466468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110436480).

86466468 is an abundant number, since it is smaller than the sum of its proper divisors (134406492).

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

86466468 is a wasteful number, since it uses less digits than its factorization.

86466468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2326 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 86466468 is about 9298.7347526424. The cubic root of 86466468 is about 442.1971166142.

The spelling of 86466468 in words is "eighty-six million, four hundred sixty-six thousand, four hundred sixty-eight".