86467680 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 20459520.

The previous prime is 86467669. The next prime is 86467681. The reversal of 86467680 is 8676468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86467681) 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 47 ways as a sum of consecutive naturals, for example, 580246 + ... + 580394.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^86467680 is an apocalyptic number.

86467680 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 86467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

86467680 is an abundant number, since it is smaller than the sum of its proper divisors (243753120).

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

86467680 is a wasteful number, since it uses less digits than its factorization.

86467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 86467680 is about 9298.7999225707. The cubic root of 86467680 is about 442.1991826961.

The spelling of 86467680 in words is "eighty-six million, four hundred sixty-seven thousand, six hundred eighty".