86209760 has 192 divisors, whose sum is σ = 260112384. Its totient is φ = 26265600.

The previous prime is 86209733. The next prime is 86209763. The reversal of 86209760 is 6790268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86209763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451265 + ... + 451455.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 2^86209760 is an apocalyptic number.

86209760 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 86209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

86209760 is an abundant number, since it is smaller than the sum of its proper divisors (173902624).

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

86209760 is a wasteful number, since it uses less digits than its factorization.

86209760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 86209760 is about 9284.9211089809. The cubic root of 86209760 is about 441.7590737388.

The spelling of 86209760 in words is "eighty-six million, two hundred nine thousand, seven hundred sixty".