86069680 has 80 divisors (see below), whose sum is σ = 216146880. Its totient is φ = 31775744.

The previous prime is 86069653. The next prime is 86069693. The reversal of 86069680 is 8696068.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52554 + ... + 54166.

It is an arithmetic number, because the mean of its divisors is an integer number (2701836).

Almost surely, 2^86069680 is an apocalyptic number.

86069680 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 86069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108073440).

86069680 is an abundant number, since it is smaller than the sum of its proper divisors (130077200).

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

86069680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (86069679) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1678).

86069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 86069680 is about 9277.3746286328. The cubic root of 86069680 is about 441.5196764132.

The spelling of 86069680 in words is "eighty-six million, sixty-nine thousand, six hundred eighty".