86893560 has 160 divisors (see below), whose sum is σ = 314677440. Its totient is φ = 21378816.

The previous prime is 86893559. The next prime is 86893561. The reversal of 86893560 is 6539868.

86893560 is a `hidden beast` number, since 8 + 6 + 89 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (86893559) and next prime (86893561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86893561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41089 + ... + 43151.

It is an arithmetic number, because the mean of its divisors is an integer number (1966734).

Almost surely, 2^86893560 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 86893560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157338720).

86893560 is an abundant number, since it is smaller than the sum of its proper divisors (227783880).

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

86893560 is a wasteful number, since it uses less digits than its factorization.

86893560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 86893560 is about 9321.6715239275. The cubic root of 86893560 is about 442.9239831723.

The spelling of 86893560 in words is "eighty-six million, eight hundred ninety-three thousand, five hundred sixty".