86300160 has 160 divisors (see below), whose sum is σ = 292561632. Its totient is φ = 21626880.

The previous prime is 86300119. The next prime is 86300161. The reversal of 86300160 is 6100368.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 86300160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86300161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130230 + ... + 130890.

Almost surely, 2^86300160 is an apocalyptic number.

86300160 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 86300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146280816).

86300160 is an abundant number, since it is smaller than the sum of its proper divisors (206261472).

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

86300160 is a wasteful number, since it uses less digits than its factorization.

86300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 86300160 is about 9289.7879416056. The cubic root of 86300160 is about 441.9134300812.

The spelling of 86300160 in words is "eighty-six million, three hundred thousand, one hundred sixty".