86261760 has 300 divisors, whose sum is σ = 333043788. Its totient is φ = 21233664.

The previous prime is 86261743. The next prime is 86261761. The reversal of 86261760 is 6716268.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 65028096 = 4608^2 + 8064^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 624 × 240 × 576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86261761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635514 + ... + 6635526.

Almost surely, 2^86261760 is an apocalyptic number.

86261760 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 86261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166521894).

86261760 is an abundant number, since it is smaller than the sum of its proper divisors (246782028).

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

86261760 is an equidigital number, since it uses as much as digits as its factorization.

86261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 86261760 is about 9287.7209260399. The cubic root of 86261760 is about 441.8478759608.

The spelling of 86261760 in words is "eighty-six million, two hundred sixty-one thousand, seven hundred sixty".