86073840 has 200 divisors, whose sum is σ = 307882080. Its totient is φ = 22270464.

The previous prime is 86073833. The next prime is 86073847. The reversal of 86073840 is 4837068.

86073840 is a `hidden beast` number, since 8 + 607 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (86073833) and next prime (86073847).

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 = 86073795 and 86073804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86073847) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 239581 + ... + 239939.

Almost surely, 2^86073840 is an apocalyptic number.

86073840 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 86073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

86073840 is an abundant number, since it is smaller than the sum of its proper divisors (221808240).

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

86073840 is a wasteful number, since it uses less digits than its factorization.

86073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86073840 is about 9277.5988272828. The cubic root of 86073840 is about 441.5267896121.

The spelling of 86073840 in words is "eighty-six million, seventy-three thousand, eight hundred forty".