86855760 has 160 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 22823424.

The previous prime is 86855759. The next prime is 86855773. The reversal of 86855760 is 6755868.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170386 + ... + 170894.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^86855760 is an apocalyptic number.

86855760 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 86855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

86855760 is an abundant number, since it is smaller than the sum of its proper divisors (216696240).

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

86855760 is a wasteful number, since it uses less digits than its factorization.

86855760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 86855760 is about 9319.6437700161. The cubic root of 86855760 is about 442.8597476681.

The spelling of 86855760 in words is "eighty-six million, eight hundred fifty-five thousand, seven hundred sixty".