86891760 has 240 divisors, whose sum is σ = 320336640. Its totient is φ = 21012480.

The previous prime is 86891759. The next prime is 86891771. The reversal of 86891760 is 6719868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 379326 + ... + 379554.

It is an arithmetic number, because the mean of its divisors is an integer number (1334736).

Almost surely, 2^86891760 is an apocalyptic number.

86891760 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 86891760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160168320).

86891760 is an abundant number, since it is smaller than the sum of its proper divisors (233444880).

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

86891760 is a wasteful number, since it uses less digits than its factorization.

86891760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86891760 is about 9321.5749742198. The cubic root of 86891760 is about 442.9209247612.

The spelling of 86891760 in words is "eighty-six million, eight hundred ninety-one thousand, seven hundred sixty".