86119920 has 60 divisors (see below), whose sum is σ = 289221816. Its totient is φ = 22965120.

The previous prime is 86119907. The next prime is 86119921. The reversal of 86119920 is 2991168.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86119921) 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 11 ways as a sum of consecutive naturals, for example, 59086 + ... + 60525.

Almost surely, 2^86119920 is an apocalyptic number.

86119920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86119920 is an abundant number, since it is smaller than the sum of its proper divisors (203101896).

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

86119920 is a wasteful number, since it uses less digits than its factorization.

86119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119630 (or 119621 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 86119920 is about 9280.0818961904. The cubic root of 86119920 is about 441.6055666438.

The spelling of 86119920 in words is "eighty-six million, one hundred nineteen thousand, nine hundred twenty".