86530920 has 128 divisors (see below), whose sum is σ = 306339840. Its totient is φ = 19134720.

The previous prime is 86530909. The next prime is 86530933. The reversal of 86530920 is 2903568.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24379 + ... + 27701.

It is an arithmetic number, because the mean of its divisors is an integer number (2393280).

Almost surely, 2^86530920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153169920).

86530920 is an abundant number, since it is smaller than the sum of its proper divisors (219808920).

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

86530920 is a wasteful number, since it uses less digits than its factorization.

86530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 86530920 is about 9302.1997398465. The cubic root of 86530920 is about 442.3069603904.

The spelling of 86530920 in words is "eighty-six million, five hundred thirty thousand, nine hundred twenty".