86441940 has 288 divisors, whose sum is σ = 312058656. Its totient is φ = 19169280.

The previous prime is 86441939. The next prime is 86441959. The reversal of 86441940 is 4914468.

It is a happy number.

86441940 is a `hidden beast` number, since 8 + 644 + 1 + 9 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 34082244 + 52359696 = 5838^2 + 7236^2 .

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 86441895 and 86441904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1630954 + ... + 1631006.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 2^86441940 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 86441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

86441940 is an abundant number, since it is smaller than the sum of its proper divisors (225616716).

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

86441940 is a wasteful number, since it uses less digits than its factorization.

86441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86441940 is about 9297.4157699868. The cubic root of 86441940 is about 442.1552998774.

The spelling of 86441940 in words is "eighty-six million, four hundred forty-one thousand, nine hundred forty".