86397960 has 256 divisors, whose sum is σ = 305337600. Its totient is φ = 19353600.

The previous prime is 86397943. The next prime is 86397967. The reversal of 86397960 is 6979368.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86397967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416330 + ... + 1416390.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 2^86397960 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 86397960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

86397960 is an abundant number, since it is smaller than the sum of its proper divisors (218939640).

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

86397960 is a wasteful number, since it uses less digits than its factorization.

86397960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 86397960 is about 9295.0502957219. The cubic root of 86397960 is about 442.0803004464.

The spelling of 86397960 in words is "eighty-six million, three hundred ninety-seven thousand, nine hundred sixty".