86209344 has 168 divisors, whose sum is σ = 275981160. Its totient is φ = 25546752.

The previous prime is 86209337. The next prime is 86209411. The reversal of 86209344 is 44390268.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 78854400 = 2712^2 + 8880^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 86209299 and 86209308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216954 + ... + 217350.

It is an arithmetic number, because the mean of its divisors is an integer number (1642745).

Almost surely, 2^86209344 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 86209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137990580).

86209344 is an abundant number, since it is smaller than the sum of its proper divisors (189771816).

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

86209344 is a wasteful number, since it uses less digits than its factorization.

86209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86209344 is about 9284.8987070404. The cubic root of 86209344 is about 441.7583631770.

The spelling of 86209344 in words is "eighty-six million, two hundred nine thousand, three hundred forty-four".