86841720 has 240 divisors, whose sum is σ = 340160040. Its totient is φ = 19813248.

The previous prime is 86841709. The next prime is 86841751. The reversal of 86841720 is 2714868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158487 + ... + 159033.

Almost surely, 2^86841720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86841720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170080020).

86841720 is an abundant number, since it is smaller than the sum of its proper divisors (253318320).

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

86841720 is a wasteful number, since it uses less digits than its factorization.

86841720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86841720 is about 9318.8904918987. The cubic root of 86841720 is about 442.8358840199.

It can be divided in two parts, 8684 and 1720, that added together give a square (10404 = 102²).

The spelling of 86841720 in words is "eighty-six million, eight hundred forty-one thousand, seven hundred twenty".