86417760 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 19322880.

The previous prime is 86417743. The next prime is 86417761. The reversal of 86417760 is 6771468.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86417761) 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, 68011 + ... + 69269.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^86417760 is an apocalyptic number.

86417760 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 86417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

86417760 is an abundant number, since it is smaller than the sum of its proper divisors (233642400).

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

86417760 is a wasteful number, since it uses less digits than its factorization.

86417760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 86417760 is about 9296.1153177013. The cubic root of 86417760 is about 442.1140686872.

The spelling of 86417760 in words is "eighty-six million, four hundred seventeen thousand, seven hundred sixty".