86339920 has 40 divisors (see below), whose sum is σ = 203174496. Its totient is φ = 34117248.

The previous prime is 86339899. The next prime is 86339927. The reversal of 86339920 is 2993368.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86339927) 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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 13141.

Almost surely, 2^86339920 is an apocalyptic number.

86339920 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 86339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101587248).

86339920 is an abundant number, since it is smaller than the sum of its proper divisors (116834576).

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

86339920 is a wasteful number, since it uses less digits than its factorization.

86339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 86339920 is about 9291.9276794431. The cubic root of 86339920 is about 441.9812854221.

The spelling of 86339920 in words is "eighty-six million, three hundred thirty-nine thousand, nine hundred twenty".