86909760 has 280 divisors, whose sum is σ = 354055680. Its totient is φ = 19823616.

The previous prime is 86909749. The next prime is 86909761. The reversal of 86909760 is 6790968.

It is a tau number, because it is divible by the number of its divisors (280).

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 (86909761) 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, 181201 + ... + 181679.

Almost surely, 2^86909760 is an apocalyptic number.

86909760 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 86909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027840).

86909760 is an abundant number, since it is smaller than the sum of its proper divisors (267145920).

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

86909760 is a wasteful number, since it uses less digits than its factorization.

86909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 86909760 is about 9322.5404263001. The cubic root of 86909760 is about 442.9515069714.

The spelling of 86909760 in words is "eighty-six million, nine hundred nine thousand, seven hundred sixty".