86365440 has 540 divisors, whose sum is σ = 380631636. Its totient is φ = 18579456.

The previous prime is 86365399. The next prime is 86365441. The reversal of 86365440 is 4456368.

86365440 is a `hidden beast` number, since 86 + 36 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 36578304 = 7056^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 = 86365395 and 86365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86365441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080312 + ... + 5080328.

Almost surely, 2^86365440 is an apocalyptic number.

86365440 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 86365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190315818).

86365440 is an abundant number, since it is smaller than the sum of its proper divisors (294266196).

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

86365440 is a wasteful number, since it uses less digits than its factorization.

86365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 86365440 is about 9293.3008129512. The cubic root of 86365440 is about 442.0248274719.

The spelling of 86365440 in words is "eighty-six million, three hundred sixty-five thousand, four hundred forty".