86565360 has 240 divisors, whose sum is σ = 331291296. Its totient is φ = 18579456.

The previous prime is 86565341. The next prime is 86565379. The reversal of 86565360 is 6356568.

It is an interprime number because it is at equal distance from previous prime (86565341) and next prime (86565379).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199704 + ... + 200136.

Almost surely, 2^86565360 is an apocalyptic number.

86565360 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 86565360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

86565360 is an abundant number, since it is smaller than the sum of its proper divisors (244725936).

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

86565360 is a wasteful number, since it uses less digits than its factorization.

86565360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 86565360 is about 9304.0507307301. The cubic root of 86565360 is about 442.3656331793.

The spelling of 86565360 in words is "eighty-six million, five hundred sixty-five thousand, three hundred sixty".