86814320 has 20 divisors (see below), whose sum is σ = 201843480. Its totient is φ = 34725696.

The previous prime is 86814319. The next prime is 86814323. The reversal of 86814320 is 2341868.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86814323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 542510 + ... + 542669.

It is an arithmetic number, because the mean of its divisors is an integer number (10092174).

Almost surely, 2^86814320 is an apocalyptic number.

86814320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86814320 is an abundant number, since it is smaller than the sum of its proper divisors (115029160).

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

86814320 is a wasteful number, since it uses less digits than its factorization.

86814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085192 (or 1085186 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 86814320 is about 9317.4202438229. The cubic root of 86814320 is about 442.7893051038.

The spelling of 86814320 in words is "eighty-six million, eight hundred fourteen thousand, three hundred twenty".