86321920 has 72 divisors (see below), whose sum is σ = 218985984. Its totient is φ = 32489472.

The previous prime is 86321881. The next prime is 86321923. The reversal of 86321920 is 2912368.

It is not an unprimeable number, because it can be changed into a prime (86321923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19777 + ... + 23743.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 2^86321920 is an apocalyptic number.

86321920 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 86321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

86321920 is an abundant number, since it is smaller than the sum of its proper divisors (132664064).

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

86321920 is a wasteful number, since it uses less digits than its factorization.

86321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86321920 is about 9290.9590462987. The cubic root of 86321920 is about 441.9505687846.

The spelling of 86321920 in words is "eighty-six million, three hundred twenty-one thousand, nine hundred twenty".