86068560 has 80 divisors (see below), whose sum is σ = 271232640. Its totient is φ = 22571520.

The previous prime is 86068559. The next prime is 86068561. The reversal of 86068560 is 6586068.

It is an interprime number because it is at equal distance from previous prime (86068559) and next prime (86068561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86068561) 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, 11701 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^86068560 is an apocalyptic number.

86068560 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 86068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

86068560 is an abundant number, since it is smaller than the sum of its proper divisors (185164080).

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

86068560 is a wasteful number, since it uses less digits than its factorization.

86068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 86068560 is about 9277.3142665321. The cubic root of 86068560 is about 441.5177612820.

The spelling of 86068560 in words is "eighty-six million, sixty-eight thousand, five hundred sixty".